Question

A vertical pole of $6m$ casts shadow of $4m$ long on the ground.At the same time a tower casts a shadow $28m$ long. Find the height of the tower(in meters).

Answer 1

The pole of 6 meters corresponds to the height of the tower.
The shadow of the pole, 4 meter shadow, corresponds to the 28 meter shadow of the tower.
Let h be the tower's height;
Then, $\frac{Towerheight}{Poleheight}=\frac{Towershadow}{Poleshadow}$
$\frac{h}{6}=\frac{28}{4}$
$h=7\times 6$
$h=42$ m
Height of tower is 42 m