Susan wanted to measure the height of her school’s flagpole. She placed a mirror on the ground 38 feet from the flagpole, and then walked backwards until she was able to see the top of the pole in the mirror. Her eyes were 5 feet above the ground and she was 15 feet from the mirror. Using similar triangles, find the height of the flagpole to the nearest hundredth of a foot. Figures may not be drawn to scale.