Q. 165.0( 4 Votes )

It is found that on walking x meters towards a chimney in a horizontal line through its base, the elevation of its top changes from 30° to 60°. The height of the chimney is
A.

B.

C.

D.

Answer :


Here AB is the chimney of height h


By walking x meters toward chimney the angle of elevation changes from 30° to 60°


In Δ ABH


tan 60° =


h = √3 y


= y …………….1


In Δ ABG


tan 30° =


=


√3 h = x+y


√3 h - = x (from 1)


= x


h =

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