For a project in his Geometry class, Feng uses a mirror on the ground to measure the
height of his school's flagpole. He walks a distance of 8.65 meters from the flagpole,
then places a mirror on flat on the ground, marked with an X at the center. He then
steps 1.1 meters to the other side of the mirror, until he can see the top of the flagpole
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 flagpole? Round your answer to the nearest
hundredth of a meter.