Question

The angle of elevation of the top of a building from the foot of the tower is 30 and the angle of elevation of the top of the tower from the foot of the building is 60. If the tower is 50 m high, find the height of the building.

Answer 1

Answer:

50/3 m

Step-by-step explanation:

If the tower is 50m high, and the angle of elevation of the top of the tower is 60,

tan 60 = root 3

tan 60 = height of tower / distance between tower and building

Hence, root 3 = 50 / d

root 3 * d = 50

d = 50 / root 3

The angle of elevation of building is 30 and distance between tower and building is 50 / root 3 (found above),

tan 30 = 1 / root 3

tan 30 = height of building / d

1 / root 3 = height / 50 / root3

(1 / root 3) * (50 / root 3) = height

height = 50/3

Therefore, height of building is 50/3m

Answer 2

$\textbf{Answer is in Attachment !}$