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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.

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Let the distance between the foot of the tower and the foot of the building be d.

height of the building = H height of the tower = h = 50 m

Tan 30⁰ = 1/√3 = H/d Tan 60⁰ = √3 = h/d => (1/√3)/(√3) = H / h => H = h/3 => 50 m / 3 = 16.667 meters