For a project in his Geometry class, Yusuf uses a mirror on the ground to measure the
height of his school's football goalpost. He walks a distance of 8.65 meters from the
goalpost, then places a mirror flat on the ground, marked with an X at the center. He
then walks 4.65 more meters past the mirror, so that when he turns around and looks
down at the mirror, 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 1.65 meters. How tall
is the goalpost? Round your answer to the nearest hundredth of a meter.