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

Question

Philoid · Accepted 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 =