Question

A tall tree has a shadow that measures 40 feet. Next to the tree is a man whose shadow measures 4

Answer 1

The height of the tree is 55 feet

Solution:

Let,

Height of tree = x

Shadow of tree = 40 feet

Height of man = 5.5 feet

shadow of man = 4 feet

Set up a proportion comparing the height of each object to the length of the shadow.

$\frac{\text{ Height of tree}}{\text{ Shadow of tree }} = \frac{\text{ Height of man}}{\text{ shadow of man }}$

Therefore,

$\frac{x}{40} = \frac{5.5}{4}\\\\x = 5.5 \times 10\\\\x = 55$

Thus height of the tree is 55 feet