Question

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. \(3\sqrt2x\)

B. \(2\sqrt3x\)

C. \(\frac{\sqrt3}2x\)

D. \(\frac{2}{\sqrt3}x\)

Answer 1

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° = \(\frac{h}y\)

h = √3 y