For a project in her Geometry class, Aria uses a mirror on the ground to measure the height of her school building. She walks a distance of 11.45 meters from the school,
then places a mirror on flat on the ground, marked with an X at the center. She then
steps 1.25 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 1.15 meters. How tall is the school? Round your answer to the
nearest hundredth of a meter.