For a project in her Geometry class, Charlotte uses a mirror on the ground to measure the height of her school building. She walks a distance of 7.45 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. She then steps 2.5 meters to the other side of the mirror, until she can see the top of the school clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.65 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.