the angles of elevation of the top of the tower from two points P and Q at the distance of A and B respectively from the base and in the same straight line with it are complementary prove that the height of the tower is root under a into B
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here is your answer.. it is a nice question for traping students time..
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AB is a tower. D and Care two points on the same side of a tower, BD = a and BC = b.
∠ADB and ∠ACB are the complementary angles.
If ∠ADB = x, then ∠ACB = 90 – x
In ∆ADB,
………… (1)
In ∆ABC,
…………....(2)
Multiplying (1) and (2),
(AB)2 = ab
AB = √ab
Height of tower = AB = √ab
Hence proved.
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