A person who is 6

Question

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 1

Let's use a proportion to solve the problem:

(tree height) / (tree shadow length) = (person height) / (person shadow length)

Plugging in the given values, we get:

(tree height) / 130 = 6 / 10

Simplifying the right side, we get:

(tree height) / 130 = 3 / 5

Cross-multiplying, we get:

5(tree height) = 130(3)

5(tree height) = 390

Dividing both sides by 5, we get:

tree height = 78

Therefore, the height of the tree is 78 feet.