Question

The angles of elevation of the top of a tower from two points P and Q at a distance of a and b ,respectively from the base and in the same straight line with it are conplementary.Prove that the height of the tower is rootab

Answer 1

Let P be at distance a from the tower. This will make an angle a
Let height of tower be h 

Tan (90-a)=h/a 
Cot a=h/a
Tan a=a/h 
Tan (a)= h/b 
a/h = h/b
h square = ab
h=√ab

Answer 2

Answer:

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