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.
[tex]\frac{\text{ Height of tree}}{\text{ Shadow of tree }} = \frac{\text{ Height of man}}{\text{ shadow of man }}[/tex]
Therefore,
[tex]\frac{x}{40} = \frac{5.5}{4}\\\\x = 5.5 \times 10\\\\x = 55[/tex]
Thus height of the tree is 55 feet
