A person is standing 50 yards from the base of a building. The angle of elevation from the person to the top of the building is

Question

3 years ago

10

25-degrees. How tall is the building?

1 answer:

Whitepunk [10] · Answer 1 · 2022-08-29T13:37:28+03:00

6 0

Answer:

The height of the building is H = 11.65 yards

Step-by-step explanation:

Distance from the base of the building to the person = 50 yards

Angle of elevation = 25°

From Δ ABC

⇒ $\tan 25 = \frac{H}{25}$

⇒ $H = 25 \tan 25$

⇒ H = 11.65 yards

Therefore the height of the building is H = 11.65 yards