# The angle of elevation of the top of the building from the foot of the tower is 30° and the angle 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.

To find:

The height of the building.

Formula Used:

Explanation:

Let AB be the building of height 50 m. and tower of height h (m.)

In ∆ABC

tan 60° =

√3 =

….. (1)

Now in ∆DCB

tan 30° =

…. (2)

On substituting value of in eqn. (1)

√3h =

h =

h =

Therefore, height of tower is m.

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