1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DaniilM [7]
2 years ago
13

Benjamin is trying to find the height of a radio antenna on the roof of a local building.

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
8 0

The height of the antenna on the roof of the local building is approximately 8 meters.

The situation forms a right angle triangle.

<h3>Properties of a right angle triangle:</h3>
  • One of its angles is equals to 90 degrees
  • The sides of the triangles can be calculated using Pythagoras theorem.

Therefore, let's find the height of the building and the radio antenna from the eye point.

Using trigonometric ratios,

tan 40° = opposite / adjacent

tan 40° = x / 25

where

x = the height of the building and the radio antenna from the eye point.

x = 25 tan 40

x = 25 × 0.83909963117

x = 20.9774907794 meters

Let's find the height of the building from his eye point.

tan 28° = y / 25

where

y = height of the building from his eye point

y = 25 × tan 28°

y = 25 × 0.53170943166

y = 13.2927357915 meters

Height of the antenna = 20.9774907794 - 13.2927357915 = 7.68475498786

Height of the antenna ≈ 8 meters

learn more on elevation here: brainly.com/question/17582385?referrer=searchResults

You might be interested in
Chang is estimating the volume of his bathtub the actual volume of his bathtub is 37 gal chang’s estimate is 31 gal find the abs
stepladder [879]
<h3>The absolute error is 6</h3><h3>The percent error is 16.22 %</h3>

<em><u>Solution:</u></em>

Given that,

Actual volume of his bathtub is 37 gal

Estimate is 31 gal

<em><u>Find the absolute error</u></em>

Absolute Error = | Measured Value - Actual Value |

Absolute Error = | 31 - 37 |

Absolute Error = 6

<em><u>Find the percent error</u></em>

Percent\ error = \frac{\text{estimate - actual}}{actual} \times 100

Substituting we get,

percent\ error = \frac{31-37}{37} \times 100\\\\percent\ error = \frac{-6}{37} \times 100\\\\percent\ error = -16.22

Negative sign means percent decrease

Thus percent error is 16.22 %

5 0
2 years ago
SOLVE THOSE TWO PROBLEMS PLEASEEE I REALLY NEED HELP
BabaBlast [244]

Answer:

I and G

Step-by-step explanation:

3 0
3 years ago
What is the value of x?<br><br>Enter your answer in the box. <br><br>x =​
balu736 [363]

Answer:

x=3

Step-by-step explanation:

BC=6

cos(60)=×÷6

×=3

8 0
3 years ago
The library is halfway between your house and your school. If your house is located at (-4,-3) and the library is at (2,-1), wha
aleksandrvk [35]
I believe it would be (-2,-2) i may be wrong though i dont have my graphing papers
6 0
3 years ago
Solve 5x ≥ 25. Graph the solution.
Zina [86]

Answer:

Step-by-step explanation:

Alright so we are going to solve

5x ≥ 25  Divide both sides by 5

x≥5

4 0
3 years ago
Other questions:
  • For f (x) = 3x +1 and g(x) = x2 - 6, find (f 3)(x)
    12·1 answer
  • Ten friends went out to dinner. two friends each paid $12 for dinner, three friends each paid $13 for dinner, and five friends e
    8·1 answer
  • Tuan answered 20 customer service calls in 3 hours. At this rate, how many customer service calls can Tuan answer in 7.5 hours?
    6·1 answer
  • How do you find the median
    7·2 answers
  • What is the constant difference of the above sequence 6;10;14​
    9·1 answer
  • Help me please!! <br><br> Find the value of x
    6·1 answer
  • Help please explain the answer
    15·1 answer
  • Expanded form of 5(2m)³
    10·1 answer
  • Brainy heart rate 190 per minute her heart rate is 70% of her MHR
    7·1 answer
  • Which characteristic is necessary to create a table that compares two functions?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!