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in Trigonometry by (65.2k points)

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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Height of the tower, PQ = 50 m. 

Let Height of the building, AB = h m. 

Angle of elevation to top of tower, = ∠PBQ = 60° 

Angle of elevation to building. = ∠AQB = 30°

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