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
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 =