Question

a tree casts a shadow 42 feet long.at the same time, a person 5 feet tall casts a shadow 7 feet long. what is the hight of the tree?

Answer 1

height of the tree is 30 feet

Explanation:

a tree casts a shadow 42 feet long . at the same time, a person 5 feet tall casts a shadow 7 feet long.

shadow of a 5 feet tall person is 7 feet long

Let x be the height of the tree

shadow of a 42 feet tree is x feet long

Make a proportion

`(x)/(42) =(5)/(7)`

cross multiply

`7x=(42)(5)`

`7x=210`

divide by 7 on both sides

x=30

So height of the tree is 30 feet