Question

A ladder is leaning against a wall. If the base of the ladder is 8ft from the wall and the ladder is 16ft long, how high up does it sit on the wall? Leave your answer in simplest radical form and do not include units.

Answer 1

height = 13.86, or 8√3

Explanation:

using the Pythagorean theorem:

h² = 16² - 8²

h² = 256 - 64

h² = 192

h = 13.86 ft or 8√3