For a project in his Geometry class, Magan uses a mirror on the ground to measure the height of his school building. He walks a distance of 7.95 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 1.8 meters to the other side of the mirror, until he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.15 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.