Question

Gerry plans to place a 24-foot ladder against the side of his house. The bottom of the ladder will be 8 feet from the house. How far up the side of the house will the ladder reach? Answer exactly or round to 2 decimal places. The ladder will reach _ feet up the side of his wall.

Answer 1

see the attached figure to better understand the problem

Applying the Pythagorean Theorem

24^2=h^2+8^2

h^2=24^2-8^2

h^2=576-64

h^2=512

h=22.63 ft