Word problems
We can use the Pythagorean theorem to solve word problems.
A 15foot ladder rests against a wall. The foot of the ladder is 5 feet away from the wall. How high
up the wall does it reach?.


c^{2}=a^{2}+b^{2}
b^{2}=c^{2}a^{2}
b^{2}=15^{2}5^{2}
b^{2}=200

A 36  foot ladder rests against a wall. The foot of the ladder is 108 feet away from the wall.
How high up the wall does it reach?.