A 63 foot long cable is anchored in the ground and
attached to the top of a light pole at an angle of
elevation of 52 degrees. Find the height of the light pole
to the nearest foot.

Answers

Answer 1

Answer:

The height of the light pole to the nearest foot is approximately 50 feet

Step-by-step explanation:

The parameters given in the question are;

The length of the cable = 63 feet

The angle of elevation of the cable to the top of the light pole = 52°

With the assumption that the light pole is perpendicular to the ground, the figure formed by the light pole, the distance of the of the cable from the base of the light pole and the length of the cable form a right triangle

The question can be answered by using trigonometric relations for the sine of the given angle as follows;

[tex]sin ( \theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]

The opposite leg length of the formed right triangle = The height of the light pole

The hypotenuse length = The length of the cable = 63 feet

The angle, θ = The angle of elevation = 52°

Plugging in the values, gives;

[tex]sin (52 ^ {\circ}) = \dfrac{The \ height \ of \ the \ light \ pole }{63 \ feet}[/tex]

∴ The height of the light pole = 63 feet × sin(52°) ≈ 49.645 feet

The height of the light pole to the nearest foot ≈ 50 feet.


Related Questions

What is the answer to this, pls help

Answers

I think the answer will be A.

(x³)² × x⁴ = ?
(it won't lemme type short)​

Answers

Answer:

We have x^3^2 which is x^3*2 = x*6 times x*4 which is x*10

Hope this helped and brainliest please

help please!!!! Will mark b for right answer

Answers

Answer:

35

Step-by-step explanation:

2x+1=71

71-1=70

70÷2=35

therefore x must be 35

(2x+1) = 71
-1 -1
2x = 70
Divide 2 by each side
x = 35°

Sam ate of a candy bar and Jordyn ate of
a candy bar. How much of the candy did
they both eat?

Answers

2 also ima partay saturday

Directions: Identify the rise, run, and slope of the line below.

Answers

Answer:

Step-by-step explanation:

slope = 2

rise= 2

run = 1

In a certain linear pair, one angle measures 3 more than twice the measure of the other. Find the measure of each angle.

Answers

Answer:

6 x 4 = 98ft

/9= 76 take the common factor and hears your answer 9 x 6

Step-by-step explanation:

Helpppppp 50 pointssss
The numbers a, b, and c are positive and a
equals 3.2bc If b is increased by 150% and c
is decreased by 60%, then a is
A) increased by 90%
B) increased by 10%
C) unchanged
D) decreased by 10%​

Answers

Answer:

A

Step-by-step explanation:

Answer:

b i think hsjshdidhdidjd

Select the correct answer.
If a =0.3 and b=0.5, what is the value of a+b?
A. 8/10

B. 8/9

C. 80/90

D. 88/100

Answers

I believe that the correct answer is A

Answer:

It Is A

Step-by-step explanation:

HELLOOOO


DO YOU LIKE BARBIE MOVIES?!?

Answers

Answer:

IT'S THE ELLEN'S FACE FOR ME SBSJSHSSSWHSHSJSV

Hahahaah the Ellen face lol


Lilly wants to determine the association between her deposits and her savings account balance. She modeled the equation y = 75x + 100
for the line of best fit. The independent variable, x, is deposits and the dependent variable, y, is account balance. What does the y
intercept mean in this context?
A)
The starting savings account balance is $75.
B)
The starting savings account balance is $100.
The account balance increases by an additional $75 for
each deposit.
D)
The account balance increases by an additional $100 for
each deposit.

Answers

Answer:

D) The account balance increases by an additional $100 for each deposit

Step-by-step explanation:

The y intercept will always be the number being added or subtracted from the independent variable.

The y intercept of y = 75x + 100 is 100, it means that the starting savings account balance is $100.

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the y intercept.

Given the equation:

y = 75x + 100

The y intercept is 100, it means that the starting savings account balance is $100.

Find out more on linear equation at: https://brainly.com/question/14323743

i need a good answer​

Answers


6vw + 6v^2 - 42w - 35v - 49

Answer:

6v^2 - 35v + 6wv - 42w - 49

Step-by-step explanation:

Use distributive property

First multiply 6v to each term within the second set of parentheses

6v^2 - 42v

Now multiply 6w to each term within the second set of parentheses

6wv - 42w

Next multiply 7 to each term within the second set of parentheses

7v - 49

Add all of these numbers together

6v^2 - 42v + 6wv - 42w + 7v - 49

Combine like terms

6v^2 - 35v + 6wv - 42w - 49

No more like terms so the expression is simplified

80x49=?
Plz help I give Brainlyest.

Answers

Answer:3920

Step-by-step explanation:

If you first mutiply 9x0 then 9x8 then 0x4 and 0x8 and add all the answers you get 3920

The area of the triangle below is 5/12 square feet. What is the length of the base? Express your answer as a fraction in simplest form.
1/2 ft is the height

Answers

Answer:

5/4 ft

Step-by-step explanation:

Given data

Area= 5/12 square feet

Height= 1/2 ft

Base=????

We know that the area of a triangle is given as

Area= (1/2)B*H

substitute

5/12= 1/2* B* 1/2

5/12= B/4

cross multiply

12B= 20

B= 20/12

B= 5/3

Hence the base is 5/4 ft

Help please I’m on my last question???

Answers

Answer:

if im not mistaken i think it's D. 2 10

CAN ANYONE PLEASE ANSWER ALL OF THIS QUESTIONS WITH EXPERT EXPLANATION PLEASE I AM HAVING FINALS FOR NEXT YEAR SUBJECT CHOOSING PLEASE ANYONE FOR GOD'S SAKE PLS!!!!!!!!! ALSO WILL MARK BRANLIEST

Answers

Answer:

Maybe I can

Step-by-step explanation:

Answer:

Ya sure mate, but can't see ur question......

Step-by-step explanation:

Which expression is equivalent to 1/3(12x+6x-21)

Answers

Answer:

[tex]6x-7[/tex]

Step-by-step explanation:

[tex]\frac{1}{3} (12x + 6x -21)[/tex]

break it into pieces

[tex]\frac{1}{3}*12x = 4x[/tex]

[tex]\frac{1}{3}*6x=2x[/tex]

[tex]\frac{1}{3} *-21=-7[/tex]

put it all together

*since there's no negative in front  of the other numbers except 7 they're positive so you add them*

[tex]4x + 2x - 7[/tex]

simplify

[tex]6x - 7[/tex]

LA BASE DE UNA PISCINA ES UN RECTÁNULO QUE TIENE 3m DE ANCHO Y 6M DE LARGO, SI LA ALTURA DE LA PISCINA ES DE 2m. ¿CUÁNTOS LITROS DE AGUA TENDRÁ CUANDO ESTA TOTALMENTE LLENA?

Answers

Answer:

36m^3

Step-by-step explanation:

El volumen de una prisma rectangulo es ancho*largo*altura, entonces multiplique 3 con 6 y 2.

3m*6m=18m^2

18m^2*2m=36m^3

Si yo te ayudo, da un brainly por favor!

Answer:

36

Step-by-step explanation:

What is the surface area of the following

Answer Choices:
80 square cm
64 square cm
112 square cm
72 square cm

Answers

Step-by-step explanation:

2(6)(4)+(4)(4)

48+16

64 square Centimeters

Find the length of side AG
Give your answer to 1 decimal place

Answers

Answer:

AC = 17.3

Step-by-step explanation:

AC = √c2 - b2

= √18.6862701378782 - 72

= √300.17669166575

= 17.32561

= 17.3

a 5-foot piece of linen costs $18.00. what is the price per inch?​

Answers

Answer:

$3.00 per inch

Step-by-step explanation:

also hope this helps

Are 4k and -3.7k like terms? Explain.

Answers

Answer:

Hello!(5g + 4k) + 7.3⇒ Yes or No?Did this help?

Step-by-step explanation:

What is 65% of 25?
Select one:
A. 9.75
B. 13
C. 16.25
D. 22.75

Answers

Answer:

C 16.25 is the answer that you need

Step-by-step explanation:

25 x .65

Please help me

You have 42 coins valued at $3.00. Some of the coins are dimes and some are quarters. Find the number of each you have.

Answers

Answer:1.00

Step-by-step explanation:I misses u

Answer:

I think its a dollar..

Step-by-step explanation:

Rewrite y = x2 +6x+ 10 in graphing (vertex) form by completing the square. State the VERTEX.

Answers

Answer:

The vertex of the graph is (-3,1)

Step-by-step explanation:

Here, we want to rewrite the given quadratic equation in the vertex form

We have the vertex form as;

y = a(x-h)^2 + k

where the vertex is (h,k)

Now, by completing the square, we have to divide the coefficient of x by 2, then square; after which we add to both sides; prior to this, we have to replace y by 0

Thus, we have it as follows;

x^2 + 6x + 10 = 0

x^2 + 6x + 10 + 3^2 = 3^2

x^2 + 6x + 19 = 9

x^2 + 6x + 9 = 9-10

(x + 3)^2 = -1

(x + 3)^2 + 1 = 0

So we have the vertex as ;

(h,k) = (-3,1)

In parallelogram ABCD with diagonal AC and BD,If angle 1 =50 angleDCB =115 find angle 2

Answers

Answer:

180- 115= 50+∠2

65-50= ∠2

15°=∠2

Step-by-step explanation:

Answer:

d. 15 degrees

Step-by-step explanation:

You're basically trying to find angle DBC. Adding 115 and 50 will give you 165. This means that angle DBC must be 15, as the angles have to add up to 180. Angle 2 and angle DBC are equal, so angle 2 is 15 degrees.

A new solid is crest be cutting a right rectangular prism from a cube. The right rectangular prism has a length of 5 m, a width of 4 m, and a height of 2 m. The side lengths of the cube are 5 m. What is the volume of the solid?

Answers

geuajjagsuaiakjsbshsys

Find the surface area of q cylinder.

Answers

Answer:

791.68

Step-by-step explanation:

PLS HELP EASY ANGLES GIVING BRIANLIEST PLS

Answers

Answer:

53 degrees

Step-by-step explanation:

y = 180 - 90 - 37

y = 90 - 37

y = 53 degrees

hopefully this helps :) plz mark brainliest

Explain how we know that the sine of 270 degrees is -1. State one other value of θ such that sinθ=1.

Answers

Solution :

Trigonometry is that branch of mathematics which is used to study the relationship between the angles and the lengths of the sides of a triangle.

We known that the co-ordinate of a point on the circumference of a circle making an angle θ with the horizontal having a unit radius is given by :

(1 cos θ, 1 sin θ).

And for any angle made by sin θ on the x - axis is 0 and on the y -axis is 1 or -1 depending on the quadrant.

Since, angle 270 degree falls on the 3rd quadrant, therefore, the value of the co-ordinates of the point is (cos θ, sin θ) = (0,-1).

So the value of sin 270° = -1.

One other example of sin θ = 1 is 90° as 90 degree falls in the first quadrant.

Jeremy measured the room to be 10 feet long and 4.5 feet wide. He plans to purchase carpet for the entire room. The carpet cost $15 per square meter. What will be the total cost of the new carpet to the nearest cent?

Answers

Answer:

$205.73

Step-by-step explanation:

First we find the square area,

multiply 10 by 4.5 and we get 45

we convert feet to meters by dividing it by 3.281

45/3.281=13.71533

we the multiply 13.71533 by 15 to get the total price

we get 205.72996 and round it to 205.72

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