The angles of elevation of the top of a tower from two points on the ground at distances a metres and b metres from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is metres.

Question

KnowledgeBoat · Accepted Answer

Given, AB is the tower of height h meters, BC = a meters and BD = b meters. From figure, In △ABD, Multiplying (1) by (2) we get, Hence, proved that h = meters.

Mathematics

The angles of elevation of the top of a tower from two points on the ground at distances a metres and b metres from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is metres.

Heights & Distances

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