33.0k views
10 votes
A person who is 6 feet tall is standing 120 feet from the base of a tree, and the tree casts a 130 foot shadow. The person's shadow is 10 feet in length. What is the height of the tree?

User Eman
by
5.2k points

1 Answer

9 votes

Answer:

the tree is 65 feet high.

Explanation:

let 'x' be the height of the tree

draw the tree, the person and the shadows - notice the similar triangles

the following proportion counts

x : 5 = 130 : 10

x = (5*130)/10

x = 65 feet

User Esselans
by
5.6k points