Question

A tree casts an 8-foot shadow on the ground. The length from the tip of the shadow to the top of the tree is 17 feet. What is the height of the tree?

Answer 1

The answer is 15 feet from the ground to the top of the tree.

Explanation:

Answer 2

Height of tree = 15 ft

Explanation:

Given:

Length of shadow (Base) = 8 ft

Length from the tip to top of the tree (Hypotenues) = 17 ft

Find:

Height of tree = ?

Computation:

Using Pythagoras theorem:

`Height\ of\ tree = √(Hypotenues^2 - base^2) \\\\Height\ of\ tree = √(17^2 - 8^2) \\\\Height\ of\ tree = √(289-64)\\\\Height\ of\ tree = √(225)\\\\ Height\ of\ tree =15`

Height of tree = 15 ft