Question

The ratio of the length of a vertical pole and its shadow on the ground is $5:3$. Find the length (in meter) of the shadow if the length of the pole is $80$ meters.

Answer 1

given ratio of the length of vertical pole$\left(l\right)$

and its shadow $\left(s\right)$ is $\frac{5}{3}$

let length of vertical pole$=5xm.....\left(1\right)$

length of shadow pole$=3xm.$

given length of vertical pole$=80m.....\left(2\right)$

from $\left(i\right)$ and $\left(ii\right);5x=80\Rightarrow x=16m$

thus, length of shadow $\left(s\right)=3x=3\times 16=48m$