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 other pole ​

Answer 1

We have ;
Ratio of lengths of their shadows $=2:3=$ ratio of lengths of their heights
Therefore, according to the question,

$\frac{\text{Length of shadow of smaller pole}}{\text{length of shadow of larger pole}}$

$\frac{\text{height of smaller pole}}{\text{height of larger pole}}=\frac{2}{3}$

$\frac{7.5}{\text{height of larger pole}}=\frac{2}{3}$

Height of larger pole $=7.5\times \frac{3}{2}=11.25m$

Hence, the height of the larger pole is $11.25m$.