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
what is the measure of an angle that turns through 1/5 of a circle?an angle that turns through 3/5 of a circle?
Arisa [49]

Answer:3.2346693550774

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In the figure, angle ABC and angle ADB are each right angles. Additionally, AC = 17.8 units and AD = 5 units. What is the length
Marizza181 [45]

Answer:

DB = 8

Step-by-step explanation:

Δ ADB and Δ BDC are similar so ratios of corresponding sides are equal, that is

\frac{DB}{DC} = \frac{AD}{BD} , substitute values

\frac{DB}{17.8-5} = \frac{5}{BD}

\frac{DB}{12.8} = \frac{5}{BD} ( cross- multiply )

DB² = 64 ( take the square root of both sides )

DB = \sqrt{64} = 8

7 0
3 years ago
Read 2 more answers
What is 19000000000×17000000÷6
Rina8888 [55]
5.38*10^16
3 0
3 years ago
Read 2 more answers
I need help to the question above in the picture
puteri [66]

Answer:

$1.61

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Amelia typed an essay on her computer. she typed 3/5 of a page in 1/5 hour. what was her unit rate
Maru [420]
3/5 - 1/5 hour
3/5 x 5 = 3 pages in 1 hour
Unit Rate : 3:1.
4 0
3 years ago
Other questions:
  • Circle C is shown. Secants A D and D J intersects at point D outside of the circle. Secant A D intersects the circle at point B
    13·1 answer
  • I need help with this!!!!!!
    10·2 answers
  • there were 16 teams at a gymnastics meet. each team had 12 members. how many gymnastics participated in the meet.
    13·2 answers
  • How do you write 8.4% as a fraction in simplest form
    7·1 answer
  • How would I solve this?<br> 4a-6=-2+14
    10·1 answer
  • Simplify. Assume that all variables are positive.
    13·1 answer
  • Find the surface area of the cylinder. Round<br> your answer to the nearest tenth.<br> 6 m<br> 7 m
    14·1 answer
  • 1. Keith has 224 books in his library. He bought several books at the yard sale over the weekend. He now has 366 books in his
    7·1 answer
  • Whats the length in meters of CD?​
    11·1 answer
  • What function type does the table of values represent?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!