For a project in her Geometry class, Hailey uses a mirror on the ground to measure
the height of her school's flagpole. She walks a distance of 11.15 meters from the
flagpole, then places a mirror on flat on the ground, marked with an X at the center.
She then steps 1.35 meters to the other side of the mirror, until she can see the top of
the flagpole clearly marked in the X. Her partner measures the distance from her eyes
to the ground to be 1.55 meters. How tall is the flagpole? Round your answer to the
nearest hundredth of a meter.