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.

Question

asked May 21, 2022 162k views

1 Answer

Lohrun · Answer 1 · 2022-05-25T21:38:15+0000

Answer:

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