Due to the sun, a 6ft man casts a shadow of 4ft, whereas a pole next to the man casts a shadow of 36ft. What is the height of the pole? 

Given

Man height = 6 ft

Shadow = 4 ft

Let Pole height = x ft

Shadow height = 36 ft

Here distance between the pole and man not given so taken separately.

Properties of similar triangles will be used, i.e. the ratio of height to base of both triangles is equal.

⇒ 6/4 = x/36

x = 54 ft

The answer is 54 ft.