For a project in his Geometry class, David uses a mirror on the ground to measure the
height of his school's football goalpost. He walks a distance of 14.75 meters from the
goalpost, then places a mirror on flat on the ground, marked with an X at the center.
He then steps 1.45 meters to the other side of the mirror, until he can see the top of
the goalpost clearly marked in the X. His partner measures the distance from his eyes
to the ground to be 1.55 meters. How tall is the goalpost? Round your answer to the
nearest hundredth of a meter.