Question

Use similar triangles to solve. A person who is 6 feet tall is standing 130 feet from the base of a​ tree, and the tree casts a 140 foot shadow. The​ person's shadow is 10 feet in length. What is the height of the​ tree?
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Question content area top right
Part 1
10 ft
6 ft
130 ft

Answer 1

Let h = height of the tree. By similar triangles (height : shadow length is the same for both),

h / 140 = 6 / 10.

So h = 140 * (6/10) = 140 * 0.6 = 84.

The tree is 84 feet tall. (The 130 ft distance is extraneous information.)