Firefighter Joe noticed a cat stuck high in a tree. He needs to know exactly how high the cat is in order to get the proper ladder for the job. Joe has a mirror and he understands that when light reflects, the angle of incidence equals the angle of reflection. Joe sets the mirror on the ground and backs up until he can see the reflection of the cat in the mirror. When Joe is lined up correctly, his eyes are 5.5 feet above the ground, his is standing 3 feet from the mirror, and the mirror is 12 feet from the tree. How high is the cat off of the ground?
