Question

A vertical row of trees $12m$ long casts a shadow $8$ m long on the ground, at the same time a tower casts the shadow $40m$ long on the ground.
(A) Determine the height of the tower.

Answer 1

The Height of trees is $12$ $m$

The length of shadows is $8$ $m$

The length of tower`s shadow is $40$ $m$

Let the height tower be $x$ $m$

Since the angle at which the sunrise hit them is same

$\frac{12}{8}=\frac{x}{40}x=\frac{40\times 12}{8}=60m$