Q. 54.1( 10 Votes )

If the angles of elevation of the top of a tower from two points distant a and b from the base and in the same straight line with it are complementary, then the height of the tower is
A. ab

B.

C.

D.

Answer :

Since the angles of elevation are complementary then if one angle is θ other would be 90° - θ


Here CD is the height of tower which forms two complementary angles θ and 90° - θ from its top to the distance a meters and b meters respectively.


In Δ CAD


1


In Δ CBD





Putting value of tan θ From 1



(CD)2 = ab


CD = √ab

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