Due to Sun, a 6 ft man casts a shadow of 4 ft, whereas a pole nex

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

A. 63 ft

B. 72 ft

C. 54 ft

D. 58 ft

Please scroll down to see the correct answer and solution guide.

Given man height = 6 ft

Shadow = 4 ft

Let Pole height = x ft

Shadow height = 36 ft

Here distance between 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.

\(\frac{{6ft}}{{4ft}} = \frac{{xft}}{{36ft}}\)

x = 54 ft