Find and interpret the mean absolute deviation of the data. $4.6,8.5,7.2,6.6,5.1,6.2,8.1,10.3$4.6,8.5,7.2,6.6,5.1,6.2,8.1,10.3 The mean absolute deviation is ____
Answer:
1.3845
Step-by-step explanation:
i used this formula in the screenshot
and you can also try using calculator websites
please can someone help
Answer:
141 Degrees
Step-by-step explanation:
Sum of interior angles of a polygon = \((n-2) \times 180^{\circ}\)
(where n is the number of sides)
The given figure has 8 sides, therefore:
⇒ sum of interior angles = (8 - 2) × 180°
= 6 × 180°
= 1080°
To find x, sum all the given angles, equate to 1080°, then solve for x:
⇒ x + 162 + (x - 12) + (x + 30) + x + 133 + (x + 16) + 126 = 1080
⇒ 5x + 455 = 1080
⇒ 5x = 625
⇒ x = 125
Therefore, (x + 16) = 125 + 16 = 141°
How are cubic functions similar to linear functions? How are
they different?
The cubic functions and linear functions, both are polynomial having degree of 3 and 1 respectively.
Define the cubic functions and linear functions?One of the key ideas in mathematics is the concept of polynomials, along with the multiple sorts of polynomials that can be created depending on the degree for polynomials.
When a variable's largest exponent is one, a polynomial with degree one is said to be linear. This type of polynomial is denoted by the equation p(x): ax + b, a≠0.A cubic polynomial is a three-degree polynomial, meaning that three is the largest exponent of the variable. In general, a cubic polynomial will have the following form: p(x): ax³ + bx² + cx + d, a≠0.Some properties of cubic functions and linear functions are-
An n-degree polynomial will have n zeros or roots.Every number of terms, however never an infinite number, can exist in a polynomial.Expressions are represented by zeros, while equations are represented by roots.To know more about the cubic functions and linear functions, here
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Need help with questions a and b please try to explain in the simple definition I am in year 9
Answer:
a) 130 m
b) -1.25 m/s²
Explanation:
Part a)
The total distance traveled on the cycle is equal to the area under the velocity-time graph.
This is the area of a trapezoid where the bases are 20 and 6 and the height is 10.
Then, the area is equal to:
\(\begin{gathered} \text{Area = }\frac{base_1+\text{base}_2}{2}\times\text{height} \\ \text{Area = }\frac{20+6}{2}\times10 \\ \text{Area}=\frac{26}{2}\times10 \\ \text{Area = 13x10 = 130} \end{gathered}\)Therefore, the total distance traveled on the cycle is 130 meters.
Part b)
The acceleration in the last 8 seconds is equal to the slope of the line in the last 8 seconds.
The slope can be calculated using two points of the line (t1, v1) and (t2, v2) as follows
\(\text{slope}=\frac{v_2-v_1}{t_2-t_1}\)So, replacing (t1, v1) by (12, 10) and (t2, v2) by (20, 0), we get:
\(\text{slope}=\text{ }\frac{0-10}{20-12}=\frac{-10}{8}=-1.25\)Therefore, the acceleration in the last 8 seconds is -1.25 m/s²
Find the volume of the sphere.
Use 3.14 for T. Round your
answer to the nearest tenth.
Enter your answer in cm³ (type in
the number only without units).
7.2 cm
Answer:
I think it will help u (:
Step-by-step explanation:
Assuming the given measurement is the diameter of the sphere, we can find the radius as follows:Radius (r) = Diameter / 2 = 7.2 / 2 = 3.6 cmThe formula for the volume of a sphere is:V = (4/3) * π * r³Substituting the values, we get:V = (4/3) * 3.14 * (3.6)³
V = 4.19 * 46.656
V = 195.4 cm³Rounding this to the nearest tenth, we get:V ≈ 195.4 cm³Therefore, the volume of the sphere is approximately 195.4 cm³.
what is the ones digit in the number 22006 ?
The ones digit number is 6 of the number 22006.
Now, According to the question:
In a two-digit number, the value of the digit depends on its position in that number. At one's place, the digit which is at the extreme right is known to be like one's, whereas the digit placed at the leftmost is known to be at ten's.
We have to find the ones digit in the number 22006
Now, Considering the number is 22006
So, the ones digit number is 6
It means the last digit is the ones digit number.
In the Indian numeral system, the place values of digits go in the sequence of Ones, Tens, Hundreds, Thousands, Ten Thousand, Lakhs, Ten Lakhs, Crores and so on.
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The cost, in dollars, for a video game developer to code g games can be represented by the function v(g) = 500 + 1000g. The number of games produced in w weeks is given by the function g(w) = 2w. Which of the following expressions represents the total cost of games after w weeks? (5 points)
1000 + 2000g
500 + 2000w
1000w + 2000wg
500 + 1000g + 2w
The expression that represents the total cost of games after w weeks is 1000w + 2000wg.
How to represent the expression of the total cost?The cost, in dollars, for a video game developer to code g games can be represented by the function v(g) = 500 + 1000g. The number of games produced in w weeks is given by the function g(w) = 2w.
The expression that represents the total cost of games after w weeks can be represented as follows;
Therefore,
v(g) = 500 + 1000g
g(w) = 2w.
total cost = v(g) × g(w)
total cost = (500 + 1000g)2w
Therefore,
total cost = 1000w + 2000gw
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Which of the following is an irrational number?
Write an equation for the line in slope-intercept form.
please help fast
Answer:
y =3x+4
Step-by-step explanation:
Help me please<>
Translate each sentence to a system of linear equation:
1. The difference of two numbers is 4. Thrice the first number plus twice the second number is 28.
2. You have only 100-peso bills and 50-peso bills in your wallet. There are 40 bills worth 3 500.00 peso.
Answer:
1. 4 and 8
Step-by-step explanation:
8-4=4
4+4+4+8+8=28
if the value stated by a null hypothesis is ______ the confidence interval, then the decision would have likely been to retain the null hypothesis.
If the value stated by a null hypothesis is within the confidence interval, then the decision would have likely been to retain the null hypothesis.
In hypothesis testing, the null hypothesis represents the default assumption or the claim that there is no significant difference or relationship between variables. The confidence interval, on the other hand, provides a range of plausible values for the population parameter based on sample data. If the value stated by the null hypothesis falls within the confidence interval, it means that the null hypothesis value is considered plausible or consistent with the observed data.
In this case, there is insufficient evidence to reject the null hypothesis, and the decision would be to retain it. On the other hand, if the null hypothesis value is outside the confidence interval, it suggests that the null hypothesis is unlikely, and the decision would be to reject it in favor of an alternative hypothesis.
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Awareness building in diversity training is designed to Multiple Choice punish managers who give members of minority groups low-status jobs. impart specific skills to managers. educate employees on ways to improve their interpersonal skills. increase recognition of the meaning and importance of valuing diversity. heighten awareness about problems involved in promoting workplace diversity.
Awareness building in diversity training is designed to increase recognition of the meaning and importance of valuing diversity.
Awareness building in diversity training aims to promote a deeper understanding and appreciation of diversity in the workplace.
It focuses on increasing individuals' recognition of the significance and value of diversity, fostering an inclusive and respectful work environment.
This type of training is not intended to punish managers, impart specific skills, or solely educate employees on improving their interpersonal skills, although these elements may be included as part of the training program.
The primary goal of awareness building in diversity training is to create a shift in individuals' attitudes, perspectives, and behaviors towards diversity. It helps employees and managers recognize and appreciate the diverse backgrounds, experiences, and perspectives of their colleagues.
By increasing awareness, individuals become more conscious of the potential biases, stereotypes, and barriers that can hinder effective collaboration and inclusion.
Through awareness building, participants gain insights into the benefits of diversity, such as enhanced creativity, innovation, and problem-solving capabilities.
They develop a deeper understanding of the importance of treating all individuals with respect, dignity, and fairness, regardless of their background or identity.
This training also fosters empathy and encourages individuals to challenge their own biases and assumptions.
By raising awareness about the significance of valuing diversity, organizations aim to create a more inclusive and harmonious workplace culture where all employees feel valued, respected, and empowered to contribute their unique perspectives and talents.
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Which expression shows the result of applying the distributive property to
–2x(7 + 12)?
A. -14x – 24x
B. -14x + 24
C. -2x - 24x
D. -14x + 12
Answer:
The closest answer is ;
A. -14x - 24x
which also equals to -38x
Step-by-step explanation:
Distributive property states ; a ( b + c ) = a b + a c
\(-2x(7 + 12)\\\\=-2x(19)\\\\= -38x\)
In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answer:
3 OR 8 hope this helps!
Step-by-step explanation:
in each of the following cases, indicate whether classical, empirical, or subjective probability is used. a. a baseball player gets a hit in 34 out of 134 times at bat. the probability is 0.25 that he gets a hit in his next at bat. multiple choice 1 empirical subjective classical b. a five-member committee of students is formed to study environmental issues. what is the likelihood that any one of five are randomly chosen as the spokesperson. multiple choice 2 empirical subjective classical c. you purchase a ticket for the lotto canada lottery. over eleven million tickets were sold. what is the likelihood you will win the $1 million jackpot? multiple choice 3 empirical subjective classical d. the probability of an earthquake in northern california in the next 10 years above 11.0 on the richter scale is 0.82. multiple choice 4 empirical subjective classical
Since it is based on actual facts, the likelihood that the baseball player will get a hit in his subsequent at-bat is an empirical probability (the number of times the player got a hit out of the total number of times at bat).
What is meant by Empirical probability?Empirical probability is a method for calculating the probability of an event based on real-world data or the results of experiments. referred to as experimental probability. This approach is widely used in situations where estimating the probability of an event based on theoretical considerations is difficult or impossible, such as when flipping a coin or rolling a die.The empirical probability is calculated by dividing the total number of observations or trials by the frequency of the relevant event. If a coin is flipped 100 times and comes up heads 45 times, for example, the empirical probability of the coin landing heads is 45/100, or 0.45.A. Because it is based on observable data, the likelihood that the baseball player will get a hit in his subsequent at-bat is an empirical probability (the number of times the player got a hit out of the total number of times at bat).
b. Because it is based on equally plausible events in a limited sample space, the possibility that any one of the five students will be picked at random to serve as the spokesperson is a classical probability.
c. Because it is based on equally likely occurrences in a limited sample space, the chance of winning the $1 million prize in the Lotto Canada lottery is a classical probability.
d. The likelihood of an earthquake in northern California with a magnitude of 11.0 or higher during the next ten years is susceptible to interpretation because it is based on expert opinion rather on data collected from observation or equally plausible outcomes.
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The best response for individuals who handle biohazards who have an existing cut or open wound on their hands is?
The best response for a person handling biohazards with an open wound on their hands is to not work with biohazards until the cut is healed or cleared by a healthcare professional to work with the use of waterproof bandages and double gloves.
When should a person with a wound handle biohazards?Biohazards are extremely dangerous because they can get into the human body and cause a lot of damage.
This is why a person with an open would or existing cut should not handle a biohazard until they are cleared to to so by a trained healthcare professional.
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Are these lines parallel,perpendicular or neither ? Y=(-4/3)xt18y=(4/3)x-6
Answer:
neither
Step-by-step explanation:
when slopes are the same its parallel
when slopes are multiplied and it equals -1 they are perpendicular
distance to the pollution source (in km) : 2 4 6 8 10 average concentration : 11.5 10.2 10.3 9.68 9.32 a) find linear equation between average concentra- tion and distance to the pollution source? b) find r2 of linear model? what can you comment about it?
The linear equation is y = -0.58x + 10.072. The value of \(R^2\) is 0.8818.
To find the linear equation between average concentration and distance to the pollution source, we can use the method of least squares to find the slope and the y-intercept of the line.
The slope (m) can be calculated as follows:
m = (NΣxy - ΣxΣy) / (NΣx^2 - (Σx)^2)
where N is the number of data points, x is the distance to the pollution source, y is the average concentration, Σxy is the sum of the products of x and y, Σx is the sum of x, and Σy is the sum of y.
The y-intercept (b) can be calculated as follows:
b = (Σy - mΣx) / N
Plugging in the given data, we get:
N = 5
x = [2, 4, 6, 8, 10]
y = [11.5, 10.2, 10.3, 9.68, 9.32]
Σx = 30
Σy = 41.72
Σxy = 106.72
So, m = (5 * 106.72 - 30 * 41.72) / (5 * 174 - 30^2)
=> -0.58
And b = (41.72 - -0.58 * 30) / 5
=> 10.072
Therefore, the linear equation is:
y = -0.58x + 10.072
The coefficient of determination (r^2) is a measure of how well the linear model fits the data. It is defined as the ratio of the explained variance to the total variance.
r^2 = (Explained variance) / (Total variance) = 1 - (Residual variance) / (Total variance)
where residual variance is the sum of the squares of the differences between the actual y values and the predicted y values from the model.
We can calculate r^2 as follows:
\(y_{pred} = -0.58x + 10.072 \\ residuals = y - y_{pred}\\ residual_{variance} = sum(residuals^2)\\ total_{variance} = sum((y - mean(y))^2)\\ r_{squared} = 1 -\frac {residual_{variance}}{ total_{variance}}\)
Plugging in the given data, we get:
\(residual_{variance} = 0.9048\\ total_{variance} = 7.6584\\r_{squared} = 1 -\frac {0.9048} {7.6584}\\ r_{squared} = 0.8818\)
Therefore, r^2 = 0.8818
This means that 88.18% of the variance in the average concentration can be explained by the distance to the pollution source. This is a relatively high value, which indicates a strong linear relationship between the two variables.
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A phone company offers to monthly plans. Plan a cost $23 plus an additional $.08 for each minute of calls. Plan B cost $19 an additional $.12 for each minute of calls.
Answer:
The indifference point is 100 minutes.
Step-by-step explanation:
Giving the following information:
Plan a cost $23 plus an additional $.08 for each minute of calls.
Plan B cost $19 an additional $.12 for each minute of calls.
First, we need to establish the total cost formula for each plan:
Plan A= 23 + 0.08*x
Plan B= 19 + 0.12*x
x= number of minutes
Now, to calculate the indifference point, we equal both formulas and isolate x:
23 + 0.08x = 19 + 0.12x
4 = 0.04x
100= x
The indifference point is 100 minutes.
Prove:
Plan A= 23 + 0.08*100= $31
Plan B= 19 + 0.12*100= $31
g find the area of the parallelogram with vertices (4,3), (8, 7), (12, 12), and (16, 16). answer:
The area of the parallelogram with vertices K(1,2,3), L(1,3,6), M(3,8,6), and N(3,7,3) is approximately 29.1547.
To find the area of the parallelogram, we need to find the length of one of its base vectors and the perpendicular height.
Let's first find one of the base vectors. We can take KL or MN as the base vector. Let's take KL.
The vector KL = L - K = (1, 3, 6) - (1, 2, 3) = (0, 1, 3).
Next, we need to find the perpendicular height of the parallelogram. We can do this by finding the cross-product of KL and KM, and then taking its magnitude.
The vector KM = M - K = (3, 8, 6) - (1, 2, 3) = (2, 6, 3).
Taking the cross product of KL and KM, we get:
KL x KM = |i j k|
|0 1 3|
|2 6 3|
= i(18) - j(6) + k(-2)
= (18, -6, -2)
The magnitude of KL x KM is:
\(|KL x KM| = √(18^2 + (-6)^2 + (-2)^2) = √(340) = 2*√(85)\)
Therefore, the area of the parallelogram is:
Area = base x height = |KL| x |KL x KM| = \(√(0^2 + 1^2 + 3^2) * 2√(85) = 2√(10)√(85) = 2√(850) ≈ 29.1547\)
So, the area of the parallelogram with vertices K(1,2,3), L(1,3,6), M(3,8,6), and N(3,7,3) is approximately 29.1547.
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Full Question: The Area of the Parallelogram with Vertices k(1,2,3), l(1,3,6), m(3,8,6), and n(3,7,3) is √265.
What is the value of x? How would i be able to show my work on an online exam?
Answer:
x=100
Step-by-step explanation:
a=5√(2)
2a=2√(2x)
Multiply the first equation by 2 on both sides to get:
2a=2*5√(2)=10√(2)
Now, since we have 2a on the left sides of both equations, we can solve this.
10√(2)=√(2x)
We can rewrite √(2x) as √(2) * √(x) and divide by √(2) on both sides.
10=√(x)
Square on both sides to get:
100=x
So x=100. Hope I could help you!
At the next meeting of the club, there are
15 students. How does including this value
with the data affect the mean?
The mean increases or
decreases
from 9 to
students.
Answer:
The mean increases from 9 to 10 when there are 15 students at the next meeting of the club. This is because the mean is calculated by adding all the data values together and then dividing by the total number of students. When the number of students increases from 9 to 15, the sum of the data points increases while the total number of students also increases, resulting in an increase in the mean.
Including the 15 students in the data may increase or decrease the mean. This is because the mean is calculated by adding all the numbers in a set and dividing by the quantity. Adding a new number to the set (in this case 15) thus changes the mean. If the new number is greater than the current mean, the mean will increase; if it's less, the mean will decrease.
Explanation:The question is related to the concept of mean in mathematics which is the average of a set of numbers. If there are more students attending the club meeting, including this value can cause the mean to change.
Consider a set of values. The mean of these values is calculated by adding all these values together and dividing by the number of values. If we add a new value (in this case the 15 students) to our set, it will affect the calculation of the mean. If the new value is higher than the current mean, it would increase the mean. If it's less, it would decrease the mean. Therefore, the mean could increase or decrease when including the 15 students in the data set.
Let's say the mean value before adding 15 was 9 and we had 10 values in our set. The total would be 9*10=90. When we add 15, the total becomes 105 and the new mean becomes 105/11, which is close to 9.5. Thus, by adding 15 to our data set, the mean has increased from 9 to 9.5.
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The values for random variables in a Monte Carlo simulation area. selected manually.b. generated randomly from probability distributions.c. taken from forecasting analysis.d. derived secondarily using formulas.
The values for random variables in a Monte Carlo simulation area that were chosen at random from probability distributions are the right answer.
What is Monte Carlo Simulation ?
The Monte Carlo Method, also referred to as the Monte Carlo Simulation or a multiple probability simulation, is a mathematical method for predicting potential outcomes of an uncertain event. To help people make better decisions when faced with uncertainty, John von Neumann and Stanislaw Ulam developed the Monte Carlo Method during World War II.
Therefore, the values for random variables in a Monte Carlo simulation area that were generated at random from probability distributions are the right answer.
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The correct response is the set of values for random variables in a Monte Carlo simulation region that were randomly selected from probability distributions.
In order to represent uncertainty in a model that represents a real system and computes the values of model outputs, a Monte Carlo technique is used. During World War II, John von Neumann and Stanislaw Ulam created the Monte Carlo Method to aid people in making better judgments when faced with uncertainty.
As a result, the correct response is the random values for random variables that were produced using probability distributions in a Monte Carlo simulation area.
A hill on a hiking trail goes up to 69 feet over a distance of 138feet. Find the grade of the hill
Answer: The grade of the hill = 50%
Step-by-step explanation:
The grade is the slope( expressed as a percent). To evaluate the slope we divide the rise by the run.
Given: A hill on a hiking trail goes up to 69 feet over a distance of 138 feet.
So, rise= 69 feet , run = 138 feet.
The grade of the hill = \(\dfrac{rise}{run}\times100\)
\(=\dfrac{69}{138}\times100=50\%\)
Hence, the grade of the hill = 50%
What’s the equation for X?
Answer:
perimeter of rectangles = 2 ( l + b)
34 = 2 ( x + 2 + 3x - 4 )
34 = 2 ( 4x - 2 )
34 = 8x - 4
38 = 8 x
38/ 8 = x
thus , x = 4.75 inches
Answer:
x=19/4
Step-by-step explanation:
perimeter is the sum of all sides
so
perimeter given is 34 = (x+2)+(x+2)+(3x-4)+(3x-4)
34=8x-4
34=8x
x=34/8 which reduces to 19/4
The necklace is priced $85. You have a 15% discount and tax is 6%. What
will your final price be?
HELP!!!!! GEOMETRY REFLECTION
Lin tried to reflect triangle ABC across line I
She knows something went wrong because the image isn’t congruent to the original figure.
1. What is one idea that Lin probably understands about reflections? Lin probably understands that the image needs to be the same _____away from the line as the original figure.
2. What is one idea that Lin doesn’t understand about reflections?
Lin doesn’t understand that the segments that connect the original figure to the image need to be ____ to the line.
It is true to state that Lin tried to reflect triangle ABC across line t.
She knows something went wrong because the image isn’t congruent to the original figure.
1) Note that Lin probably understands that the image needs to be the same distance away from the line as the original figure.
2) Lin doesn’t understand that the segments that connect the original figure to the image need to be equidistant to the line.
What is a reflection in Math?In mathematics, a reflection is a transformation that flips a figure over a line or plane.
The reflection of a point or shape across a line or plane is the same distance from that line or plane as the original point or shape. This is known as equidistance.
Therefore, reflection and equidistance are closely related in that a reflected point or shape is equidistant from the line or plane of reflection as the original point or shape.
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if a = 2 and b = 3 then find a^b + b^a
Answer:
if a=2 and b= 3 then
a^b = 2^3 = 8
b^a = 3^2 = 9
then after adding the a^b and b^a or 8+9 = 17 ans
i hope you understand
this is basic algebra question
The answer is:
17Work/explanation:
To evaluate the expression, I plug in the value of each variable:
\(\sf{a^b+b^a}\)
\(\sf{2^3+3^2}\)
Now, evaluate:
\(\sf{2\times2\times2+3\times3}\)
Simplify
\(\sf{8+9}\)
\(\sf{17}\)
Hence, the answer is 17.Let f(x) = ax3 . Calculate f(x+h)−f(x) h for h 6= 0. After you obtain your answer, evaluate it again by setting h = 0.
To calculate \(\frac{{f(x+h) - f(x)}}{h}\) for the function \(f(x) = ax^3\), we need to substitute the expressions into the formula and simplify.
\(f(x+h) = a(x+h)^3\\\\f(x) = ax^3\)
Now we can calculate the difference:
\(f(x+h) - f(x) = a(x+h)^3 - ax^3\)
Expanding \((x+h)^3\):
\(f(x+h) - f(x) = a(x^3 + 3x^2h + 3xh^2 + h^3) - ax^3\)
Simplifying:
\(f(x+h) - f(x) = ax^3 + 3ax^2h + 3axh^2 + ah^3 - ax^3\)
The terms \(ax^3\) cancel out:
\(f(x+h) - f(x) = 3ax^2h + 3axh^2 + ah^3\)
Now we can divide by h:
\(\frac{{f(x+h) - f(x)}}{h} = \frac{{3ax^2h + 3axh^2 + ah^3}}{h}\)
Canceling out the common factor of h:
\(\frac{{f(x+h) - f(x)}}{h} = 3ax^2 + 3axh + ah^2\)
Now, we evaluate this expression again by setting h = 0:
\(\frac{{f(x+h) - f(x)}}{h} = 3ax^2 + 3ax(0) + a(0)^2\)
\(= 3ax^2\)
Therefore, when we evaluate the expression by setting h = 0, we get \(3ax^2\).
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A ladder leans against a house making a 30 degree angle with the ground. If the ladder touches the house at a point 10 feet high, how long is the ladder?
Answer:
20ft.
Step-by-step explanation:
Sine = Opposite / Hypothenuse
Opposite = Height = 10ft
Hypothenuse = Length of ladder
Therefore, sin30° = 10ft / Length = 1/2
Length = 20ft