The correct question is <span>A 15-foot ladder is leaning against a house. the base of the ladder is 4 feet from the house. to the nearest tenth of a foot. </span>How high up the house does the ladder reach?
see the picture attached to better understand the problem
applying the Pythagoras Theorem 15²=4²+h²-----> h²=15²-4²-----> h²=225-16----> h=√209 h=14.46 ft------> h=14.5 ft