A radio tower is located 275 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 37 and that the angle of depression to the bottom of the tower is 35 . How tall is the tower?

Answers

Answer 1

Answer:

399.8 feet

Step-by-step explanation:

Since the angle of elevation of the top of the tower from the building is Ф = 37°, and the distance between the tower and the building is x = 275 feet. Let the upper part of the tower be h. These three components from a right-angled triangle with opposite side = h and adjacent side = x. So, by trigonometric ratios,

tanФ = h/x

h = xtanФ

= 275 feet × tan37°

= 275 feet × 0.7536

= 207.23 feet

Also, the angle of depression of the bottom of the tower from the building is Ф' = 35°, and the distance between the tower and the building is x = 275 feet. Let the lower part of the tower be h'. These three components from a right-angled triangle with opposite side = h' and adjacent side = x. So, by trigonometric ratios,

tanФ' = h'/x

h' = xtanФ'

= 275 feet × tan35°

= 275 feet × 0.7002

= 192.56 feet

So, the height of the tower, H = h + h'

= 207.23 feet + 192.56 feet

= 399.79 feet

≅ 399.8 feet


Related Questions

What is the x-intercept?​

Answers

x - intercept is (-4,0)

Answer:

x- intercept = - 4

Step-by-step explanation:

The x- intercept is the value of x on the x- axis where the line crosses.

The line crosses the x- axis at x = - 4, which is the x- intercept

please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will give brainliest if answer all

Answers

Answer:

1.

1/10 chance

2.

2/10 chance

3.

2/10 chance

4.

0/12 chance or maybe 0/10

Step-by-step explanation:

1.1/5 chance for the number and 1/2 chance for the heads/tails so

2.2/5 chance of getting it to land on an even number + 1/2 for heads

3..2/5 chance of getting it to land on an even number and  1/2 for tails

4.you cant land a 6

hello! i need it quick asap

Answers

 ○

 く|)へ <-me

  〉

━━━━━┓ \\

┓┓┓┓┓┃

┓┓┓┓┓┃ ヽ○ノ

┓┓┓┓┓┃  /

┓┓┓┓┓┃ ノ) <- you

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

the equation of the straight line passes through the point (0,2) and has a gradient of 1/3 is????

Answers

ExplanationSlope-Intercept

[tex]y = mx + b \\ m = slope /gradient \\b = y - intercept[/tex]

Substitute m = 1/3 in the equation.

[tex]y = \frac{1}{3} x + b[/tex]

Substitute the given coordinate point then solve the equation for b-term.

[tex](x,y) = (0,2)[/tex]

[tex]2 = \frac{1}{3} (0) + b \\ 2 = 0 + b \\ 2 = b[/tex]

Rewrite the equation by substituting the b-value.

[tex]y = \frac{1}{3} x + 2[/tex]

Answer

[tex] \large \boxed{y = \frac{1}{3} x + 2}[/tex]

If you have any question related to the answer, feel free to ask via comment.

There are 24 kids on the soccer team and 3 coaches. What is the ratio of coaches to kids?

Answers

Answer:

3:24

Step-by-step explanation:

In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1/2%. At a local store a book costs $12.99 and a video game costs $39.99. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?

Answers

Answer:

12.99/100 X 108.5 = 14.09

39.99/100 X 108.5 = 43.39

43.39 - 14.09 = 29.3

difference = $29.30

please help me , if f(x) = c and g(x) = f (x-3), which of the following best describes the graph of y = g(x)

Answers

I need this answer too can you please help me out too if you find the answer


Explanation

Reshaun sells houses. He gets a 4% commission for every house he sells.This month he sold $518,000 worth of houses. How much does he earn in commission?

Answers

Answer:

$20,720

Step-by-step explanation:

$518,000 x 4% = $20,720

To solve this, you need to find 4% of $518,000

($518,000)0.04 = $20,720

He should earn $20,720 for his commissions for the year.

The table shows the sales price and the discount offered at different stores for a bicycle that Juan wants to pure
Store Name
Discount
Z-Mart
Regular price

12% off
$50 off
25% off
Bike World
$265
Juan wants to get the best deal. Which store offers the bike at the lowest price after the discount?
O A Z-Mart
OBBike World
OC. Not enough information to tell
D. ABC Sports

Answers

Answer:A

Step-by-step explanation:

runs away cutely


Solve for x.
8 + x = -4
Answer:

Answers

Answer:

x = -12

Step-by-step explanation:

Let's solve your equation step-by-step.

8+x=−4

Step 1: Simplify both sides of the equation.

x+8=−4

Step 2: Subtract 8 from both sides.

x+8−8=−4−8

x=−12

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

isolate the variable by dividing each side by factors that do not contain the variable

Which division problem is equivalent to 25?


CLEAR CHECK

5÷2.


Divide 5 by 2.


Cut 5 equal sections from a 2-foot-long ribbon.


Split 5 cups of yogurt into 2 equal servings.

Answers

they all add up to 2.5 maybe u have to simplify?

Maggie writes the equations below to find the unknown number
in 14 x 2 x 3 = 1. Which pair of equations shows another way that
Maggie could find the unknown number?
14 x 2 = 28
28 x 3= 0

Answers

Answer:so the answer is 2×3=6 28×3

Step-by-step explanation:well 14 * 2 equals 2828 * 3 equals 58

32 divided by BLANK equals 8

Answers

Answer:

32 divided by 4 equals 8

Step-by-step explanation:

I don't understand I need help​

Answers

Answer:

I think A

Step-by-step explanation:

because the side lengths should be the same and going down the middle.

if I am wrong plz tell me

Using Pythagorean theorem I got the answer 127.3ft the letter b

Help please ..........

Answers

Answer:

m∠1 = 30°

Step-by-step explanation:

Properties of a rhombus,

1). Sum of adjacent angles is 180°.

2). Diagonals bisects the angles of a rhombus

By property - (1)

m∠M + m∠N = 180°

120° + m∠N = 180°

m∠N = 180 - 120

         = 60°

By property - (2)

Diagonal PM will bisect the angle M.

m∠1 = m∠2

m∠1 = [tex]\frac{1}{2}(\angle N)[/tex]

       = [tex]\frac{1}{2}(60)[/tex]

       = 30°

A typical security camera frame rate is 30 frames per second. If a security incident over a 27 second period must be examined, how many frames may have to be checked for security purposes?

Answers

Answer:

810 frames

Step-by-step explanation:

30 frames per 1 sec : 'f' frames per 27 sec

30 x 27 = 810

A 24 foot ladder is leaning against the side of a house and is positioned 21 feet
from the house. How far above the ground is the point where the ladder touches
the building?

Answers

Answer:

11.7 feet long

Step-by-step explanation:

Formula: a^2+b^2=c^2

a^2+21^2=24^2

a^2+441=576

576-144=135

Square root of 135 is 11.61895004

Round to the nearest tenth is 11.7

Sixty people are in line for a show. Starting with the 1st person, you ask every 5th person if they bought their ticket in advance. Nine people say yes. Based on the sample, how many people bought tickets in advance?

Answers

Answer:

9 bought in advance

3 did not buy in advance

Step-by-step explanation:

Number of people in line = 60

The total number of people surveyed :

Every 5th person in line is questioned starting with the first in line :

Number of people sampled:

1, 6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56

Total sampled from the 60 people in line = 12

If 9 people said yes ;

Then ;

9 people bought tickets in advance and ;

12 - 9 = 3 did not

A 4​-pound bag of wildflower seed covers 16 square feet. How many pounds of seed does it take to cover 1 square​ foot?

Answers

Answer:

.25 or 1/4 pounds

Step-by-step explanation:

In order to find the answer, divide 4 by 16.

4/16=.25

Answer:

0.25 or 64

Step-by-step explanation:

Complete the table for the following equation then graph the line. (Show steps in the middle column of table) y=-3x-2

Answers

Answer:

Step-by-step explanation:

Seven cups of yogurt cost $3.50. how much does one cup of yogurt cost?

Answers

7 cups = $3.50
1 cup = 3.50/7 = $0.5

Answer:

50 cents or .50

Step-by-step explanation:

Find the number whose 23.2% is 34.8.​

Answers

Answer:

The required number will be:

x = 150

Step-by-step explanation:

Let 'x' be the number

so

23.2% of x = 34.8

23.2% × x = 34.8

23.2/100 × x = 34.8

0.232x = 34.8

divide both sides by 0.232

0.232x/0.232 = 34.8/0.232

x = 150

Therefore, the required number will be:

x = 150

Determine the solution for the equation.

y^4 = 16, y = 1, 2, 4, 8, 16

(^ - means exponent)

Answers

Answer:
2^4=16
Hope i helped

Mr Smith opens a saving account with $200 and plans to put $50 per month in the account. Which expression represents this situation after x of months?

Answers

the equations you can use is y=50x + 200

Andre and Diego were each trying to solve 2+6=3−8. Describe the first step they each make to the equation.The result of Diego’s first step was 6=−8.

Answers

Step-by-step explanation:

2+6=3-8

2+6=8

3-8=-5

8=-5

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
2m-3 =2+1m

Answers

Answer:

m=5

Step-by-step explanation:

There are no fractions involved to eliminate.

2m-3=2+1m

m=5

Based on the given scenario, the solution to the equation 2m - 3 = 2 + 1m is m = 5.

What is fraction?

Fractions are a way of representing parts of a whole. They are written in the form of a numerator and a denominator, separated by a horizontal line.

For example, the fraction 3/4 represents three parts of a whole that is divided into four equal parts.

To eliminate the fractions in the equation 2m - 3 = 2 + 1m, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators of the fractions.

However, in this equation, there are no fractions, so we don't need to multiply by anything to eliminate them. The equation is already in a form that can be solved using basic algebraic techniques.

To solve for m, we can start by moving all the m terms to one side of the equation and all the constant terms to the other side:

2m - 1m = 2 + 3

Simplifying, we get:

m = 5

Therefore, the solution to the equation 2m - 3 = 2 + 1m is m = 5.

For more details regarding fraction, visit:

https://brainly.com/question/10354322

#SPJ7

ILL MARK U BRAINLIEST
A race car is running at a constant rate toward the finish line. The equation y=3x+2 can be used to represent this situation, where y is the distance traveled in miles and x is the number of minutes the car has been running.

Which statement best describes the distance traveled, given the equation?

a. Two miles from the starting point, the race car is running 3 miles per minute.

b. Three miles from the starting point, the race car is running 2 miles per minute.

c. The car is running 2 miles per minute.

d. Five miles from the starting point, the car is running 3 miles per minute.

Answers

Answer:

a

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Martin has 1 5/6 liters of soda.
Each glass can hold 1/3 of a liter
of soda. How many glasses can
Martin completely fill with soda?

Answers

Answer:

5.5 glasses of water

Step-by-step explanation:

5.5 = 5.51.

5.51 = (5.5 × 10)(1 × 10) = 5510.

(55÷5)(10÷5) = 112 when reduced to the simplest form.

i.d.k how it is in fraction form sorry.

hope this helps!!

+(8-9)-(32-40)+(16+20)=

Answers

Answer:

43

Step-by-step explanation:

( 8 - 9 ) - ( 32 - 40 ) + ( 16 + 20 )=

-1 - ( -8 ) + 36

-1 + 8 + 36

7 + 36

43

2 negatives become a positive.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

how do i find the radius of a sphere when the circumference is 7.4 pi

Answers

Answer:

circumference = 2pi r

7.4 pi =2 pi r

divide both side by pi

7.4/2=r

3.7 = radius

Step-by-step explanation:

Answer:

To find the radius of a sphere when you have the circumference, divide the circumference by 2pi.

Step-by-step explanation:

7.4pi divided by 2pi would be 36.51753628 <—— and round that number up

Please note that I might be wrong as I have not learned this in have learned it in class but just don’t remember it.

Other Questions
Takes light energy from the light dependent reactions and - froM the air to produce- Increase 101 by 16%Give your answer rounded to 2 DP. True or False: When both the demand and supply curves shift, you can always determine the effect on price and quantity without knowing the magnitude of the shifts. a + 8a +15Math problem hard The value of a car decreases by 35% in the first year. Write an equation to represent the situation 1/2x + 3 = x + 5 what is the first step? What is the place value of the digit 4 in the number 93493 Which evidence best supports that a device is an electric motor?A. Electricity flows when a coil of wire is rotated by a hand crank.B. Electricity flows from a battery through a loop of wire which then causes a needle to move.C. Electricity flows from a battery to loop of wire and then through a galvanometer back to the battery.D. Electricity flows through a coil of wire that is rotating because a magnet is pushing on the coil of wire. why is Nepal called the garden of all race language and culture? Madeline wants to plant some oregano in a cube-shaped planter box. If one side of the box measures 9 inches, how much soil will be needed to fill the planter? what is the solution to the equation?5(x - 2) - 3x = 6x + 26 what we call spade in hindi. Jasmine makes an origami picture frame to display her favorite family photo. The size of the frame is 3.5 In by 8 in. What is the area of the frame? please help i'm really stuck on this! thank you :) Meyer used 8 loads of gravel to cover 2/5 of his driveway. How many loads of gravel will he need to cover his entire driveway? 11. Bartholins' gland is present in humanbeings on -a. Either side near the vaginal openingAt the base of male copulatory organc. Anterior margin of vaginal orificed. Prostatic region of urethra in males14 complete the statement -"IN the expression 7a, a is the ____"1. exponent2. variable3. coefficient4. product someone please help me The environment includes ____________________________________.a.air, water, and weatherb.response to a stimulusc.adaptationsd.evovolutionhelpppppp Jackson is two times older than Shelly. If the sum of their ages is 18, how old is Jackson?