Question

A vertical stick $10$ cm long casts a shadow $8$ cm long. At the same time, a tower long casts a shadow $30$ cm long. Determine the height of the tower.

Answer 1

Let the height of the tower be $xcm$

Since the two triangles are similar by $AA$ similarity criterion, we have

$\Rightarrow$ $\frac{x}{10}=\frac{30}{8}$

$\therefore$ $x=\frac{30\times 10}{8}$

$\therefore$ $x=37.5cm$

Hence, the height of the tower be $37.5cm$