A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Rashaad measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.

A Pole 11 Feet Tall Is Used To Support A Guy Wire For A Tower, Which Runs From The Tower To A Metal Stake

Answers

Answer 1

The given question is on trigonometry which requires the application of required function so as to determine the value known. So that the length of the guy wire is 67.0 feet.

Trigonometry is an aspect of mathematics that requires the application of some functions to determine the value of an unknown quantity.

Let the length of the guy wire be represented by l, and the angle that the guy wire makes with the stake be θ. So that applying the appropriate trigonometric function to determine the value of θ, we have:

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

          = [tex]\frac{11}{4}[/tex]

Tan θ = 2.75

θ = [tex]Tan^{-1}[/tex] 2.75

  = 70.0169

θ = [tex]70^{o}[/tex]

Considering triangle formed by the tower and the stake to determine the value of l, we have;

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos [tex]70^{o}[/tex]  = [tex]\frac{23}{l}[/tex]

l = [tex]\frac{23}{Cos 70^{o} }[/tex]

 = [tex]\frac{23}{0.3420}[/tex]

l = 67.2515

l = 67 feet

The length of the guy wire is 67 feet.

For more on trigonometric, check: https://brainly.com/question/6459892


Related Questions

One pound of ground beef is $3.09. How much is 4.5 pounds? Round to the nearest hundredth, if necessary

Answers

Answer:

1 pound beef = $3.09

4.5 pound beef = x

x = 3.09 × 4.5

x = 13.91

4.5 pounds= 3.09x4.5= 13 905

By what factor would your weight be multiplied if earth's diameter were 1/ 4 as big and earth's mass remained unchanged?.

Answers

Answer:

  16

Step-by-step explanation:

Your weight is (roughly) proportional to the inverse of the square of the distance you are from the center of the earth. If that distance is reduced to 1/4 its previous value, then your weight will be multiplied by the factor ...

  1/(1/4)² = 16

You would weigh 16 times as much.

_____

Additional comment

The distribution of mass within the earth also affects your weight.

It takes 39 pounds of seed to completely plant a 4-acre field.
How many acres can be planted per pound of seed?

Answers

Answer:

0.1

Step-by-step explanation:

Learning Task 3: Write at least three equivalent ratio of the given ratio. Write your answer in your notebook. 6.) 8/10 = 7.) 3/5 = 1.) 2/4 = . = 2.) 5/10 = 3.) 4/5 = = I 8.) 2/8 = 9.) 3/7 = 10.) 6/8 4.) 3/9 = 5.) 2/5 = - cond and colon form. Do this in​

Answers

Answer:

Equivalent Ratio

A ratio shows the comparison of quantities. It describes a part-to-part or a part-to-whole comparison. It can be written in three ways: fraction form, colon form and word form. Ratios that have the same values are called equivalent ratio. You can find the equivalent ratio by multiplying or dividing both quantities by the same number.

Solution:

Let us now find the equivalent ratios of the given ratios above by multiplying or dividing.

1) ‌2⁄4‌ = ‌1⁄2, ‌4⁄8, ‌6⁄12

‌2÷2 / 4÷2 = 1⁄2

2×2 / 4×2 = 4⁄8

2×3 / 4×3 = 6⁄12

2) 5⁄10 = 1⁄2, 20⁄40, 30⁄60

5÷5 / 10÷5 = 1⁄2

5×4 / 10×4 = 20⁄40

5×6 / 10×6 = 30⁄60

3) 4⁄5 = 8⁄10, 16⁄20, 28⁄35

4×2 / 5×2 = 8⁄10

4×4 / 5×4 = 16⁄20

4×7 / 5×7 = 28⁄35

4) 3⁄9 = 1⁄3, 9⁄27, 21⁄63

‌3÷3 / 9÷3 = 1⁄3

3×3 / 9×3 = 9⁄27

3×7 / 9×7 = 21⁄63

5) 2⁄5 = 4⁄10, 8⁄20, 14⁄35

2×2 / 5×2 = 4⁄10

2×4 / 5×4 = 8⁄20

2×7 / 5×7 = 14⁄35

6) 8⁄10 = 4⁄5, 24⁄30, 56⁄70

‌8÷2 / 10÷2 = 4⁄5

8×3 / 10×3 = 24⁄30

8×7 / 10×7 = 56⁄70

7) 3⁄15 = 1⁄5, 6⁄30, 12⁄60

‌3÷3 / 15÷3 = 1⁄5

3×2 / 15×2 = 6⁄30

3×4 / 15×4 = 12⁄60

8) 2⁄8 = 1⁄4, 6⁄24, 14⁄56

‌2÷2 / 8÷2 = 1⁄4

2×3 / 8×3 = 6⁄24

2×7 / 8×7 = 14⁄56

9) 3⁄7 = 6⁄14, 12⁄28, 18⁄42

3×2 / 7×2 = 6⁄14

3×4 / 7×4 = 12⁄28

3×6 / 7×6 = 18⁄42

10) 6⁄8 = 3⁄4, 24⁄32, 36⁄48

6÷2 / 8÷2 = 3⁄4

6×4 / 8×4 = 24⁄32

6×6 / 8×6 = 36⁄48

Step-by-step explanation:

Answer:Equivalent Ratio

A bag contains 10 white golds balls and 6 stripped golf balls. A golfer wants to add 112 golfs balls to the bag. He wants the ratio of white to striped golf balls to remain the same. How many of each should he add?

Answers

Step-by-step explanation:

10+6 = 16

since 112/16 = 7

add 7*10 white and 7*6 striped

 

Answer:

Alright, solve 10 + 6 = 16

Place a proportion of 10 / 16 and 6 / 16

Multiply 10 and 112, and 6 and 112, and divide both by 16

This will get you 70 / 42

70 / 42 = 10 / 6

70 * 6 = 420, 42 * 10 = 420

420 = 420

70 white golf balls, and 42 striped.

Step-by-step explanation:

Im sorry for lagging man :( i hope that helps

the answer is B:
I just did the question

Answers

the answer is B: thanks

Answer:

huh? did you mean to send in tgis as a question or something???

Plant A Plant B WeeksHeight (inches) WeeksHeight (inches) 06 04 28 27 Part A To graph the two linear relationships, you need to know which variable is the independent variable, x, and which is the dependent variable, y. Of the two variables, weeks and height, which is the independent variable and which is the dependent? Explain your answer.

Answers

Answer:

Weeks is the independent variable and height is the dependent variable.

Step-by-step explanation:

The height of the plant depends on the weeks the plant has been growing. So the height is the dependent variable. Because the number of weeks doesn't depend on anything, the number of weeks is an independent variable.

Carbon-14 has a half-life of 5730 years. How long will it take for 180 grams to decay to 100 grams?

Answers

Answer:

3185

(I'm not sure if it's correct, if it's wrong I apologize in advance.)

If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to the sum of the first two angles, find the measure of each angle.

Answers

Answer:

Answer:first angle = 25 degrees

Second angle = 35 degrees

Third side = 120/degrees

Step-by-step explanation:

The school store sells Midville High T-shirts for $12 each and Midville High gym shorts for $9 a pair. One afternoon they sold a total of 53 T-shirts and pairs of shorts for a total of $570 . How many T-shirts did they sell and how many pairs of shorts did they sell?

Answers

Answer:

The store sold 21 T-shirts and 18 pairs of shorts.

Step-by-step explanation:

x = the number of T-shirts sold

y = the number of pairs of shorts sold

x + y = 53

12x + 9y = 570

x = 21 T-shirts

y = 18 shorts

IM TIMED PLEASE HELP ILL GIVE U BRAINLIEST D:


what is 8.52 divided by 12

show your work in partial quotient

Answers

Answer:

look at the photo...............

Write a word problem that
could represent the equation
below. Then solve the
equation
7y + 3 = 101

-PLEASE HELP IM FR HALF ASLEEP-

Answers

Answer:

y = 14

You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?

Step-by-step explanation:

You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?

7y=98

y=14

Answer: 14

Step-by-step explanation:

First you do 3 - 3 which cancels each other out.

2nd step :

you do 101 - 3 which equals 98

3rd step :

Divide 98 by 7 and your final answer is 14 !! <3

six times the difference of a number and three is -42 (write and equation and solve)

Answers

Here's ur perfect answer

Hello!

6(3-x)=-42

Use the Distributive Property:

18-6x=-42

-6x=-42-18 (move all the constants (numbers) to the right side, using the opposite operation)

-6x=-60

6x=60

Divide both sides by 6:

x=10

Hope it helps!

If you have any questions, feel free to ask in the comments! (:

~An excited gal

[tex]SparklingFlower[/tex]

i don’t understand can I have help please

Answers

Answer:

(y + 1)³

Step-by-step explanation:

Answer:

y^3+3y^2+3y+1

Step-by-step explanation:

Factor the numerator and denominator to cancel the common factors.

(Whenever ^ is in the answer, it means that the number to the right of it is the exponent)

1) The measures of the angles of a triangle are in the ratio of 1:3:6. What are the measures of the angles?
1:
3:
6:

Answers

Answer:Answered 2 years ago. The total of the sum of the measures of any triangle has been proven to be 180 degrees. If the ratio of angle measure is 1:3:6.

Step-by-step explanation:

Answer:

1: 18 3: 54 6: 108

Step-by-step explanation:

A triangle has 180 degrees.

You need to add up all the ratios 1+3+6

Then divide that by 180----> 180/10=18

Then multiply all the ratios by but answer(18)

1*18=18

3*18=54

6*18=108

Use 3.14
Jerry is building a model car. The picture shows one of the wheels for the car. The wheel has a diameter of 30 millimeters.
30 mm
Which is closest to the distance around the outside edge of the wheel?

Answers

We want to find the distance around the outside wheel of the car given that we know its diameter. We will see that this distance is 94.2mm

So the distance around the outside edge of the wheel will be equal to its circumference.

We do know that for a circle of diameter D the circumference is defined as:

C = pi*D

Where pi = 3.14

Here we do know that the diameter is 30 mm, then the circumference of the wheel will be:

C = 3.14*30mm = 94.2 mm

This is the distance around the outside edge of the wheel.

If you want to learn more about circumferences you can read:

https://brainly.com/question/17009561

Hi I really need help with this please 25POINTS!!!

What is the Point of Maximum Growth of this function?
f(x)=(7)/(1+5e^(-0.9x)
Select the correct answer:
(0,7/6)
(0.39,3.5)
(-1.79,3.5)
(1.79,3.5)

Answers

Answer:

(0,7/6)

Step-by-step explanation:

The radius of a vegetable garden is 63m. If 1188m pf wire is given to fence around it, how many rounds of fencing can be made

Answers

Answer:

3 rounds

Step-by-step explanation:

Circumference of the garden is:

C = 2πrC = 2*3.14*63 = 395.64 m

Number of rounds:

1188 / 395.64 = 3

Radius=63m=r

Circumference

[tex]\\ \sf\longmapsto 2πr[/tex]

[tex]\\ \sf\longmapsto 2(3.14)(63)[/tex]

[tex]\\ \sf\longmapsto 6.28(63)[/tex]

[tex]\\ \sf\longmapsto 395.6m[/tex]

Wire=1188m

Rounds:-.

[tex]\\ \sf\longmapsto 1188/395\approx 3[/tex]

Calculate the average rate of change of the function f(x) = mx + b over the interval 2 ≤ x ≤ 13.
A) 1
B)
11
C) m
D) b

Answers

Answer:

m

Step-by-step explanation:

The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.

So the answer is m.

However, we could use slope formula = change in y divided by change in x.

Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.

Change in x is 13-2=11.

So the slope is 11m/11=m.

X According to a survey, 60 sixth grade students at Madison Middle School attended a summer camp. This is 30% of the entire sixth grade. How many students are in the sixth grade?

Answers

Answer: total is 200

Step-by-step explanation:

30% = 60

10% = 60/3 = 20

100% = 200

Can someone help me with this?

Answers

Answer:

the 20 dollars = the slope

the fee = the y-intercept

if a line has a slope of 20 and passes through the point (7,200), then what is the y-intercept?

y-intercept is 60

what happens to the total mass of the atoms involved in a chemical reaction

Answers

There won't be any change in the total mass of the atoms involved in a chemical reaction. According to the law of conservation of mass; it states that mass can neither be created nor destroyed in a chemical reaction. So, when atoms participate in a chemical reaction they might displace with other reactants but the total mass will remain the same.

_______

RainbowSalt2222 ☔

Audrey has a pet-sitting service. She uses the following inequality to determine how many pets she can care for at one time, where d represents the number of dogs and c represents the number of cats. 10 + 15 < 60. A graph of the inequality is shown. Explain and interpret the meaning of the point in the graph

I missed a few days of school and I don't know how to do this problem is there any way anyone could walk me through this or show me how they got the answer?

Answers

Answer:

Step-by-step explanation:

Given the function [tex]f(x)=x^2-2x-5[/tex] , determine the average rate of change of the function over the interval [tex]-5\leq x\leq 6[/tex]

PLEASE HELP ASAPP

Answers

Answer:

- 1

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 5, 6 ] , then

f(b) = f(6) = 6² - 2(6) - 5 = 36 - 12 - 5 = 19

f(a) = f(- 5) = (- 5)² - 2(- 5) - 5 = 25 + 10 - 5 = 30

Then

average rate of change = [tex]\frac{19-30}{6-(-5)}[/tex] = [tex]\frac{-11}{6+5}[/tex] = [tex]\frac{-11}{11}[/tex] = - 1

What goes up as soon as the rain comes down?

Answers

Answer:

Umbrella goes up when rain comes down.

what is 4xy - 5y² - 3x² from 5x + 3y² - xy ? ​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent expression is ~

[tex] \boxed{ \sf8 {y}^{2} + 3 {x}^{2} + 5x - 5xy}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex]5x² + 3 {y}^{2} - xy - (4xy - 5y {}^{2} - 3 {x}^{2} )[/tex]

[tex]5x² + 3 {y}^{2} - xy - 4xy +5 {y}^{2} + 3 {x}^{2} [/tex]

[tex]3 {y}^{2} + 5 {y}^{2} + 3 {x}^{2} + 5x² - xy - 4xy[/tex]

[tex]8 {y}^{2} + 8 {x}^{2} - 5xy[/tex]

Thanksgiving Dinner Logic Grid Puzzle

Answers

Answer:

Step-by-step explanation:

-2k-4k=-18
i need help asapp

Answers

Answer: k = 3

-2k - 4k = -18

-2k - 4k = -18

-6k = -18

k = -18/-6

k = 3

Would appreciate brainly <3

Answer:

k = 3

Step-by-step explanation:

Given,To find the value of k

Equation:-2k - 4k = -18

Solution:

=> -2k - 4k = -18

(On adding like terms -2k and -4k)

=> -6k = -18

(As -6 multiplied with k in this side, on other side it will divide -18)

[tex] = > k = \frac{ - 18}{ - 6} [/tex]

(On Simplification)

=> k = 3 (Ans)

fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment

Answers

Answer:

Missing reasons are:

2. Reflexive3. Given4. Given5. Definition of bisects6. Third angle theorem7. ASA

#2

Reflexive sides

#3

Already given in question

#4

Given in the question

#5

By bisector definition

#6

Third angle therom

#7

Angle-Side-Angle

Find the least common denominator between the two fractions 2/3 and 3/5

Answers

Answer:

15 is the least common denominator between the two fractions

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