At a point on a level ground, the angle of elevation of the top of a tower is θ such that tan θ = . On walking 64 m towards the tower, the angle of elevation is φ, where tan φ = . Find the height of the tower.

Question

KnowledgeBoat · Accepted Answer

Let h be the height of the tower (AB), x be the distance from foot of tower to second observation D, Since the man walked 64 m towards the tower, the distance from C to the tower is (x + 64) m. In right angled triangle ABD, In right angled triangle ABC, Hence, height of the tower is 168 m.

Mathematics

At a point on a level ground, the angle of elevation of the top of a tower is θ such that tan θ = . On walking 64 m towards the tower, the angle of elevation is φ, where tan φ = . Find the height of the tower.

Heights & Distances

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