Question

Two poles of different heights are standing vertically on a horizontal field.At a particular time, the ratio between the length of their shadows is 2:3.If the height of the smaller pole is 7.5m,find the height of the other pole

Answer 1

Let the height of the bigger pole be 'x' m.

Given that ratio of their shadows = 2:3

Length of the smaller pole = 7.5 m

So, the length of the poles must be proportional to the ratio of the length of their shadows.

So, Length of the smaller pole: Length of the bigger pole :: 2:3

=> 7.5: x :: 2:3

=>7.5x=23

=> x=7.5×32

=> x = 11.25 m

So, the lengh of the bigger pole = 11.25 m