Question

A vertical stick of length $6m$ casts a shadow $4m$ long on the ground and at the same time a tower casts a shadow $28m$ long. Find the height of the tower.

• A. $42m$
• B. $48m$
• C. $62m$
• D. $52m$

Answer 1

The correct option is A $42m$

The length of stick corresponds to the length of tower and shadow of stick corresponds to the shadow of tower.
Thus, $\frac{LengthStick}{ShadowStick}=\frac{LengthTower}{ShadowTower}$

$\frac{6}{4}=\frac{LengthTower}{28}$
$LengthTower=\frac{6\times 28}{4}$
$LengthTower=42$ m