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

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a2b

ab2

answer is C.

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Detailed Solution

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

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