# From the top of a tower 50m high the angle of depression of the top of a pole is 45degree and from the foot of the pole,the angle of elevation of the top of the tower is 60degree.find the height of the pole if the pole and tower stand on the same plane?

Let AB be the pole and CD be the tower.

Suppose the height of pole is h m.

Given, ∠ADF = 45°, ∠CBD = 60° and CD = 50 m.

∠ADF = ∠DAE = = 45°   (Alternate angles)

AB = CE = h m

DE = CD – CE = (50 – h) m