Question

A painter leans a 15-ft ladder against a house.

The base of the ladder is 5 ft from the house. To the nearest tenth of a
foot, how high on the house does the ladder reach? Explain.

Answer 1

Let the height be h
According to the Pythagoras Theorem,
h= root 15^2-5^2
= root 225-25
= root 200= 14.14
Thus, the ladder reaches approximately 14.14 feet from the base of the house