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in Trigonometry by (65.2k points)

From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45° and 60° respectively. Find the height of the tower.

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Let the height of building, PQ = 20 m. 

PR= h m. 

Bottom of transmission tower, P, vertex point ‘R’. 

∠POQ = 45°, ∠ROQ = 60°.

∴ Height of transmission tower is = 20(√3 - 1)m

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