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A pillar stands on top of cliff. from a point on the ground 40m away from the base, the angles of elevation of the top of the pillar and the top of the cliff are 60° and 45° respectively. Find the height of the pillar. please send the full answer with workings
Asked by shethdhanesh | 20 Oct, 2023, 05:59: PM
Figure shows a pillar of height AB above a cliff of height BC.

From a point D which is at distance 40 m from the cliff , angle of elevation of bottom of a pillar is 45°.

Hence we get

Hence BC = CD = 40 m .

From a point D, angle of elevation of top of a pillar is 60°.

Hence we get  AC = 40√3 m

Pillar height AB = AC - BC = 40 ( √3 - 1 ) m = 29.3 m
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