Answers
Answer:
Radical Approximation
of A=5√2
of B=2√13
of C is 3√7
Related Questions
Your firm bottles water in plastic bottles labeled for 16.9 ounces. The specifications are 16.75 ounces to 17.05 ounces. Your filling process has an average fill of 16.90 ounces with a standard deviation of 0.04 ounces. Which of the following statements are TRUE? I The Cp calculation indicates that the process is capable. II The Cpk calculation is less than the Cp calculation. III The process is centered, so the Cp calculation should be used. I only II only III only I and III II and III
Answers
Answer:
From the statements in the question, I and III is CORRECT
Step-by-step explanation:
First we take down the given data from the question for substitution;
Process mean = 16.9 ounces
Lower specification limit = 16.75 ounces
Upper specification limit = 17.05 ounces
Standard deviation = 0.04
Now, we get our Cpk;
Cpk = MINIMUM( (Upper specification limit - mean ) / 3 × Standard deviation), (mean - Lower specification limit) / 3 × Standard deviation) )
so we substitute
Cpk = MINIMUM( ((17.05 ounces - 16.9 ounces) / 3 × 0.04 ounces ), (( 16.9 ounces - 16.75 ounces) / 3 × 0.04 ) )
Cpk = MINIMUM( 0.15 / 0.12 ), ( 0.15 / 0.12 )
Cpk = MINIMUM( 1.25, 1.25 )
Cpk = 1.25
Next the Cp;
Cp = ( Upper specification limit - Lower specification limit ) / ( 6 × standard deviation )
we substitute
Cp = ( 17.05 ounces - 16.75 ounces ) / ( 6 × 0.04 ounces )
Cp = 0.3 / 0.24
Cp = 1.25
Hence;
Cpk calculation is not less than Cp calculation.
Since Cp is greater than 1, the process is cable.
Since the actual process mean is also 16.90 ounces, then the process is centered.
Therefore, From the statements in the question, I and III is CORRECT
The correct statement is "the Cp calculation indicates that the process is capable" and "the process is centered, so the Cp calculation should be used" and this can be determined by using the formula of Cpk and Cp.
GIven :
Your firm bottles water in plastic bottles labeled for 16.9 ounces. The specifications are 16.75 ounces to 17.05 ounces. Your filling process has an average fill of 16.90 ounces with a standard deviation of 0.04 ounces.The formula of Cpk is given below:
[tex]\rm Cpk = minimum\left( \dfrac{Upper \;specification \;limit - mean}{ 3 \times Standard \;deviation)}, \dfrac{ mean - Lower\; specification\; limit} { 3 \times Standard \;deviation}\right )[/tex]
Now, substitute the known terms in the above formula.
[tex]\rm Cpk = minimum \left(\dfrac{17.05-16.9}{3\times 0.04},\dfrac{16.9-16.75}{3\times 0.04}\right)[/tex]
[tex]\rm Cpk = minimum \left(\dfrac{0.15}{0.12},\dfrac{0.15}{0.12}\right)[/tex]
Cpk = 1.25
Now, the formula of Cp is given below:
[tex]\rm Cp = \dfrac{Upper\; specification\; limit - Lower\; specification \;limit} { 6 \times standard \;deviation }[/tex]
Now, substitute the known terms in the above formula.
[tex]\rm Cp = \dfrac{17.05-16.75}{6\times 0.04}[/tex]
Cp = 1.25
So, the correct statement is "the Cp calculation indicates that the process is capable" and "the process is centered, so the Cp calculation should be used".
Therefore, the correct option is D) I and III.
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A coin is tossed and a number cube is rolled at the same time. What is the probability that the coin will land on tails and the number cube will land on 4?
a. 1/12
b. 1/6
c. 1/4
d. 5/12
Answers
A researcher is interested in testing to determine if the mean price of a casual lunch is different in the city than it is in the suburbs. The null hypothesis is that there is no difference in the population means (i.e. the difference is zero). The alternative hypothesis is that there is a difference (i.e. the difference is not equal to zero). He randomly selects a sample of 9 lunch tickets from the city population resulting in a mean of $14.30 and a standard deviation of $3.40. He randomly selects a sample of 14 lunch tickets from the suburban population resulting in a mean of $11.80 and a standard deviation $2.90. He is using an alpha value of .10 to conduct this test. Assuming that the populations are normally distributed and that the population variances are approximately equal, the degrees of freedom for this problem are _______.
Answers
Answer:
The degrees of freedom for this problem are 21
Step-by-step explanation:
Degrees of freedom:
When testing an hypothesis involving two samples, the number of degrees of freedom is given by:
[tex]df = n_1 + n_2 - 2[/tex]
In which [tex]n_1[/tex] is the size of the first sample and [tex]n_2[/tex] is the sample of the second sample.
In this question:
Samples of 9 and 14, so [tex]n_1 = 9, n_2 = 14[/tex]
The degrees of freedom for this problem are
[tex]df = n_1 + n_2 - 2[/tex]
[tex]df = 9 + 14 - 2 = 21[/tex]
The degrees of freedom for this problem are 21
The required degree of freedom is 21.
Given that,
He randomly selects a sample of 9 lunch tickets from the city population resulting in a mean of $14.30 and a standard deviation of $3.40.
He randomly selects a sample of 14 lunch tickets from the suburban population resulting in a mean of $11.80 and a standard deviation $2.90.
He is using an alpha value of .10 to conduct this test.
We have to find,
The degrees of freedom for this problem are.
According to the question,
Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.
Degrees of freedom are commonly discussed in relation to various forms of hypothesis testing in statistics, such as a chi-square.
When testing an hypothesis involving two samples, the number of degrees of freedom is given by,
[tex]Degree \ of \ freedom = n_1+n_2-2[/tex]
Where, [tex]n_1[/tex] is the size of the first sample and [tex]n_2[/tex] is the sample of the second sample.
[tex]n_1 = 9 \ and\ n_2 = 14[/tex]
Therefore,
[tex]Degree \ of \ freedom = 9+14-2\\\\Degree \ of \ freedom = 21[/tex]
Hence, The required degree of freedom is 21.
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What is 4 4/5 + 1 1/3?
Answers
Answer:
[tex] \frac{92}{15} [/tex]
Step-by-step explanation:
change to improper
[tex] \frac{24}{5} + \frac{4}{3} [/tex]
this gives us
[tex] \frac{92}{15} [/tex]
final answer
plz mark as brainliest
Answer:
[tex]\frac{92}{15} or 6\frac{2}{15}[/tex]
Step-by-step explanation
hope this helps have a good day :)
Does, this make any sense to anyone? I honestly don't understand it. I'm learning functions by the way.
Answers
===========================================================
Explanation:
If we replace every copy of x with t, then we go from this
F(x) = 3x+5
to this
F(t) = 3t + 5
All we've done really is change the letter. We still are dealing with a variable. We're told that F(t) is equal to 26, which would allow us to replace the "F(t)" with "26" in the second equation above.
So we now have the equation 26 = 3t+5 which is the same as 3t+5 = 26
Let's solve for t
3t+5 = 26
3t = 26-5 .... subtract 5 from both sides
3t = 21
t = 21/3 .... divide both sides by 3
t = 7 is the answer
Now note that...
F(t) = 3t + 5
F(7) = 3*7 + 5 .... replace t with 7
F(7) = 21 + 5
F(7) = 26
This means we got F(t) = 26 when t = 7
It's the same as saying x = 7 leads to F(x) = 26.
This helps confirm we have the correct answer.
Answer:
t = 7
Step-by-step explanation:
I hope this helps
It is believed that the average amount of money spent per U.S. household per week on food is about $99, with standard deviation $13. A random sample of 16 households in a certain affluent community yields a mean weekly food budget of $100. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average. State the null and alternative hypotheses for this test, the test statistic and determine if the results significant at the 5% level.
Answers
Answer:
The null hypothesis is [tex]H_0: \mu = 99[/tex]
The alternate hypothesis is [tex]H_a: \mu > 99[/tex]
The test statistic is [tex]z = 0.31[/tex]
The pvalue of the test is 0.3783 > 0.05, which meas that the results are not significant at the 5% level.
Step-by-step explanation:
It is believed that the average amount of money spent per U.S. household per week on food is about $99. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average.
At the null hypothesis, we test if the mean is the national average of 99, that is:
[tex]H_0: \mu = 99[/tex]
At the alternate hypothesis, we test if the mean is greater than the national average of 99, so:
[tex]H_a: \mu > 99[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
99 is tested at the null hypothesis:
This means that [tex]\mu = 99[/tex]
A random sample of 16 households in a certain affluent community yields a mean weekly food budget of $100. Standard deviation of $13.
This means that [tex]n = 16, X = 100, \sigma = 13[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{100 - 99}{\frac{13}{\sqrt{16}}}[/tex]
[tex]z = 0.31[/tex]
The test statistic is [tex]z = 0.31[/tex].
Determine if the results significant at the 5% level.
The pvalue of the test is the probability of finding a sample mean above 100, which is 1 subtracted by the pvalue of z = 0.31.
Looking at the ztable, z = 0.31 has a pvalue of 0.6217
1 - 0.6217 = 0.3783
The pvalue of the test is 0.3783 > 0.05, which meas that the results are not significant at the 5% level.
What should Jayce conclude is the distance around the largest circle on the radar screen? Use pi = 3.14.
Answers
Step-by-step explanation:
plz mark as brainlist////
Cuál es el radio de un círculo con diámetro de 47 mm
Answers
Respuesta:
23,5 milímetros
Explicación paso a paso:
Dado :
Diámetro del círculo = 47 mm
Radio del círculo = diámetro / 2
Por lo tanto, Radio = 47 mm / 2
Radio = 23,5 mm
The door to the house is 2 meters and 4 centimeters tall. How many centimeters tall is it?
Answers
Answer:
200 CENTIMETRES
Step-by-step explanation:
simplify the following expression 4 + 3 . 7
Answers
4 + 3 . 7
Then 4 + 21
= 25
PLEASEEE HELP!!!
A car dealership uses this graph and equation to show the relationship between the list price of a particular car model and the age of the car.
Y= -2,500x + 19,000
At a recent auction, the dealership purchased several of these cars that are between two and three years old.
Based on the equation, what are the minimum and maximum amounts the dealership should set as the list prices for the cars it purchased?
Minimum list price: $(10,500 , 14,000 , 6,500 , 11,500)
Maximum list price: $(10,500 , 18,500 , 14,000 , 11,500)
Answers
Answer:
minimum: 6500
maximum: 18500
Hope this helps
GLL
Step-by-step explanation:
Answer:
Correct answer is below
Step-by-step explanation:
If m∠ABJ = 28, ∠ABC ≅ ∠DBJ, find m∠JBC.
Answers
Answer:
Step-by-step explanation:
If m∠ABJ = 28 and ∠ABC ≅ ∠DBJ, then we can set up the following equation:
m∠ABC = m∠DBJ
Since angles ∠ABC and ∠DBJ are congruent, they have the same measure, so the equation above is true.
Since we are trying to find m∠JBC, we can use the fact that the measure of an angle is equal to the sum of the measures of the other two angles in the triangle to set up another equation:
m∠JBC = m∠ABC + m∠ABJ
Substituting the value for m∠ABC from the first equation into the second equation, we get:
m∠JBC = m∠DBJ + m∠ABJ
Substituting the given value of m∠ABJ into this equation, we get:
m∠JBC = m∠DBJ + 28
Since m∠ABJ = m∠DBJ, we can substitute m∠ABJ in for m∠DBJ:
m∠JBC = m∠ABJ + 28
Substituting the given value of m∠ABJ into this equation, we get:
m∠JBC = 28 + 28
Solving this equation, we find that m∠JBC = 56.
Therefore, the measure of angle ∠JBC is 56 degrees.
please anyone know about semiconductor?? i need help to paraphrase this paragraph help !!!!
Answers
Answer:
ND>MA n type in both 300k and 700k as ND and NA are not affected by rempredure, only NI is affected and it increases the electron and helps with the sane value so always electrons will be greater than holes at T= 300k Ni = 10 10 cm 3
what's 6772239 - 283474
Answers
Answer:
6488765
Step-by-step explanation:
I did the math hope this helps!!
New York City is 2.727272.% of the United States' population. NYC's population is 9 million people. What is the population of the United Sates?
Answers
The population of US is 330 million approx.
What is percent?A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." The number "%" is used to symbolize it.
Given
population of new york = 2.727272% population of US
population of new york = 9 million
population of US = 1/2.727272% of new york
population of US = 36.6666 x 90,00,000
population of US = 33,00,00,087.9 = 330 million approx
Hence population of US is approx 330 million.
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Which triangles are similar to AABC?
B
10
С
10
А
Answers
The answer is really C the reason I know is because I too have done this before
Neither of the triangles are similar to the one given.
What are similar triangles?Two triangles are said to be similar if, they have congruent corresponding angles and sides are in equal ratios.
Given are three triangles, we need to find which of them are similar to the given one,
According to the definition of the similar triangles,
1) 10 / 5.5 = 10 / 5.5 ≠ 4 / 2
So, they are similar triangles.
2) 30 / 10 = 30 / 10 ≠ 14 / 4
Hence, Neither of the triangles are similar to the one given.
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Tell whether the following lengths are possible to be sides of a right triangle. if it is a triangle, state whether if it is a acute, right or obtuse
a. 2,2,2
b. 4,6,10
c. 7,24,25
d. 1, √3, 2
Answers
Answer:
A) an equilateral triangle with acute angles (60°)
B) isn't the lengths of a triangle
C) is a right triangle
D) is a right triangle
Step-by-step explanation:
A) 2,2,2, all sides and angles are all equal
B) applying cos rule to get the angles, an angle will be zero and a triangle can't have zero angle, thus the lengths are not that of a triangle
C) it's a right triangle as the dimensions are a pythagorean triple
D) it's a right triangle as the dimensions are a pythagorean triple
Which of the following statements is true about the number 3/20
Answers
Answer:
0.15
Step-by-step explanation:
I just put the fraction in decimal form since there is no photo.
Find the missing side lengths. Leave your answers as radicals in simplest form.
Please help!!!! Due today please help!!!!!!
Answers
Answer:
[tex]m = 10\sqrt 3[/tex]
[tex]n = 10[/tex]
Step-by-step explanation:
Required
Find m and n
Considering the given angle, we have:
[tex]\sin(60) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(60) = \frac{m}{20}[/tex]
Make m ths subject
[tex]m = 20 * \sin(60)[/tex]
[tex]\sin(60) =\frac{\sqrt 3}{2}[/tex]
So, we have:
[tex]m = 20 *\frac{\sqrt 3}{2}[/tex]
[tex]m = 10\sqrt 3[/tex]
Considering the given angle again, we have:
[tex]\cos(60) = \frac{Adjacent}{Hypotenuse}[/tex]
This gives:
[tex]\cos(60) = \frac{n}{20}[/tex]
Make n the subject
[tex]n = 20 * \cos(60)[/tex]
[tex]\sin(60) =\frac{1}{2}[/tex]
So, we have:
[tex]n = 20 *\frac{1}{2}[/tex]
[tex]n = 10[/tex]
What is the form of the difference of squares identity?
Answers
Use the image below to answer the questions that follow:
** I can't upload the image but the Whole Math problem is in the Link I added to make it easier! **
(The image is Half of a house on one side of the graph)
Question 1. What type of symmetry would be used to complete the image of the house?
Question 2. What is the equation of the line of symmetry (or the point of symmetry if there is one) for the image?
Question 3. Use the rules of symmetry to determine 13 ordered pairs that would need to be plotted so that they can be connected by lines to complete the image of the house
Question 4. Complete the image of the house by plotting the points from the previous question and connecting the dots. You may copy the image into a drawing program to complete this task electronically, or you may print the image and upload a hand-drawn image to this document. Be sure to label the points.
Answers
Answer:
I can't please the question is sooo hard but can you give steps
DIRECTIONS: Use this information to answer Parts A and B. The width of a rectangle is shown. The length is twice the width. Part A 5-1x Write an expression for the perimeter listing each side separately.
Answers
Therefore , the solution of the given problem of perimeter comes out to be the perimeter is represented by the expression of Perimeter = 30 -6x.
Define perimeter.In geometry, a shape's perimeter, or overall length, is referred to as its perimeter. The lengths of all a shape's sides and edges are added up to determine its perimeter.
Here,
Given : length = 5 - 1(x) or
=> length = 5-x
Width is twice the length
thus,
=>Width = 2(5-x)
=>Width = 10-2x
So ,To find the perimeter
We use,
=> Perimeter = 2(length + width)
=> Perimeter = 2( 5-x + 10-2x )
=> Perimeter = 2( 15 -3x)
=> Perimeter = 30 -6x
Therefore , the solution of the given problem of perimeter comes out to be the perimeter is represented by the expression of Perimeter = 30 -6x.
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Identify each angle pair as Complementary, Supplementary, Adjacent, or Vertical. Select from the drop
down menu. Select the most specific choice.
Answers
Answer:
A. Adjacent
B. Complementary
C. Complementary
Step-by-step explanation:
Which of the following names a line segment in the drawing?
Answers
Determine the period of the following trigonometric function.
Answers
Answer:
[tex]\displaystyle 1\frac{1}{4}\pi[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = 4cos\:(1\frac{3}{5}x - 1\frac{3}{10}\pi)} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{13}{16}\pi} \hookrightarrow \frac{1\frac{3}{10}\pi}{1\frac{3}{5}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{-\frac{3}{4}\pi} \hookrightarrow \frac{2}{1\frac{3}{5}}\pi \\ Amplitude \hookrightarrow 4[/tex]
OR
[tex]\displaystyle \boxed{y = 4sin\:(1\frac{3}{5}x + 1\frac{1}{5}\pi)} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{3}{4}} \hookrightarrow \frac{-1\frac{1}{5}\pi}{1\frac{3}{5}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{4}\pi} \hookrightarrow \frac{2}{1\frac{3}{5}}\pi \\ Amplitude \hookrightarrow 4[/tex]
Keep in mind that although this IS a sine function, if you plan on writing your equation as a function of cosine, then by all means, go right ahead. As you can see, the photograph farthest to the right displays the trigonometric graph of [tex]\displaystyle y = 4cos\:1\frac{3}{5}x,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph farthest to the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph farthest to the right] is shifted [tex]\displaystyle \frac{13}{16}\pi\:units[/tex]to the left, which means that in order to match the sine graph [photograph farthest to the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{13}{16}\pi\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{13}{16}\pi} = \frac{1\frac{3}{10}\pi}{1\frac{3}{5}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 4cos\:(1\frac{3}{5}x - 1\frac{3}{10}\pi).[/tex]Intermediate, the centre photograph displays the trigonometric graph of [tex]\displaystyle y = 4sin\:1\frac{3}{5}x.[/tex]Again, just like before, we must figure out the appropriate C-term that will make this sine graph horisontally shift and map onto the sine graph in the leftward photograph. So, between the two photographs, we can tell that the centre sine graph is shifted [tex]\displaystyle \frac{3}{4}\pi\:units[/tex]to the right, which means that in order to match the leftward sine graph, we need to shift the graph BACKWARD [tex]\displaystyle \frac{3}{4}\pi\:units,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{3}{4}\pi} = \frac{-1\frac{1}{5}\pi}{1\frac{3}{5}}.[/tex]So, the sine graph is [tex]\displaystyle y = 4sin\:(1\frac{3}{5}x + 1\frac{1}{5}\pi).[/tex]Now, the amplitude is obvious to figure out because it is the A-term. Moreover, the midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended four units beyond the midline, hence, your amplitude. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
A right triangle with coordinates A (-2,5), B (-2, 9) and C (4,5) is first rotated 90 degrees counterclockwise and
then translated 2 units left and 3 units down to form triangle A'B'C'. What is the measure of angle B'A'C',
in degrees, in the resulting figure?
Answers
Answer:
90 degree
Step-by-step explanation:
since the original angle BAC is 90 degree, no matter the triangle is rotated or translated, the angle remain unchanged
Find the measure of m∠A (inside the triangle).
Find the measure of m∠B.
Find the measure of m∠C.
Answers
Answer:
m<A=40°
m<B=55°
m<C=85°
Step-by-step explanation:
Add up all the angles to equal 180 because all triangles add up to 180.
(2x+5)+(x+15)+x=180
Simplify.
4x+20=180
Solve for x.
x=40.
Plug x into the equations. Hope this helps.
How many 1/4 cup servings are in 2 1/2 cups of yogurt?
Answers
Answer:
10
Step-by-step explanation:
Hope it helps! :D
Answer:
6
Step-by-step explanation:
1 1/2 divided by 1/4
1 2/4 divided by 1/4
6/4 divided by 1/4
How many times does 1/4 go into 6/4?
A linear function as a rule shown
Answers
The equation that represents the linear function is y = 11 + 7x.
What is the solution to the linear equation?
The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
We have given the rules:
x: a number
y: 11 more than 7 times x.
Linear equations are the equations of degree 1. It is the equation for the straight line.
The standard form of the linear equation is ax+by+c =0,
where a ≠ 0 and b ≠ 0.
From the given conditions we can form the linear equation:
That is,
y = 11 + 7x,
Hence, the equation that represents the linear function is y = 11 + 7x.
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A 12 ft ladder leans against the side of a house. The top of the ladder is 11 ft off the ground. Find x , the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.
Answers
The value of angle of elevation (x) is 67°
What is angle of elevation?The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
Angle of elevation can be found by using trigonometry ratio
The height of the house is the opposite and the height of the ladder is the hypotenuse.
Therefore from trigonometry ratio;
sin x = 11/12
sin x = 0.92
x = sin^-1 (0.92)
x= 66.93°
x = 67° ( nearest degree)
Therefore the value of angle of elevation is 67°
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