For a project in her Geometry class, Ashley uses a mirror on the ground to measure the height of her school building. She walks a distance of 8.45 meters from her school, then places a mirror on flat on the ground, marked with an X at the center. She then walks 2.6 more meters past the mirror, so that when she turns around and looks down at the mirror, 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 1.15 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.