A 10-foot ladder is placed 4 feet from the edge of a building. How far up the building does the ladder reach. Round your answer to the nearest tenth of a foot.

Answer 1

h^2 = 10^2 - 4^2 = 100- 16 = 84

h= sqr84 = 2sqr21 = 9.2 feet high

square of the height = square of the ladder's length minus square of the base 4