Trig Homework Help!!!?

Question

from point A, the angle of elevation to the top of a building is 50 degrees. From pointB, 11 feet closer to the building, the angle of elevation pf the top is 63 degrees. How far is it from point b to point c at the top of the building? How tall is the building?

Answer 1

The Elevation from point A to the top of the building is 50°

The Elevation from point B to the top of the building is 63°

Distance Between the point B and the Base of the building is 11 ft.

Let h be the height of the building.

Now First consider the triangle CBD.

tan(63) = h / 11

h = 11 * tan(63)

h = 21.588 ft.

So Height of the Building is 22 ft (approx).

Now consider the triangle CBD.

sin(63) = h / Distance between B and C

Distance between B and C = h / sin(63) = 24.229 ft.

Distance between point B and C to the top of the building is 25 ft(approx)

Therefore,

The Height of the building is 22 ft.

Distance between point B and C to the top of the building is 24.23 ft.