At a particular time during the day, owing to the position of the sun , a 6 feet tall man casts a shadow of 4 feet , whereas a pole next to the man casts a shadow of 36 feet. What is the height of the pole?

Correct option is B

Given:

A 6 feet tall man casts a shadow of 4 feet, whereas a pole next to the man casts a shadow of 36 feet.

concept Used:

We need to determine the height of the pole.The heights of objects and the lengths of their shadows are proportional because the angle of the sun's rays remains constant.

Solution:

Let the height of the pole be H feet Using the concept of proportionality

$$\frac{Height \ of \ man }{Shadow \ of \ man} = \frac{Height \ of\ pole }{Shadow \ of pole}\\\ \\ \frac{6}{4} = \frac{H}{36}$$

216 = 4H 

H = 54 feet