Problema Solution

A person who is 5 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?

Answer provided by our tutors

let 'h' be the height of the tree


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


the following proportion counts


h : 5 = 130 : 10


h = (5*130)/10


h = 65 feet


the tree is 65 feet high.