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The sum of 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 is 900. Then the height of the tower is

a
a2b
b
ab2
c
ab
d
ab

detailed solution

Correct option is C

We have tanθ=xa⇒x=atanθAlso tan900−θ=xb⇒x=bcotθ∴x2=ab⇒x=ab

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The angle of elevation of top of an unfinished tower at a point distance 120m from its base is 450. How much height must the tower be raise so that angle of elevation of top at the same point to be 600.


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