Question

A person who is 6 feet tall casts a shadow that is 3.5 feet long. A nearby tree casts a shadow that is 22.75 feet long. What is the height of the tree? Show your work.

Answer 1

The height of the tree is 39 ft

Explanation:

Ht= Height of tree

St= Shadow of tree

Hp= Height of person

Sp= Shadow of person

Ht=Hp

St Sp

?ft = 6 ft

22.75 ft 3.5 ft

Multiply 22.75 ft by 22.75 ft and also divide 22.75 ft by 3.5 to get

6 ft* 6.5

? ft = 39 ft