For a project in his Geometry class, Nathaniel uses a mirror on the ground to measure the height of his school's flagpole. He walks a distance of 7.95 meters from
the flagpole, then places a mirror on flat on the ground, marked with an X at the
center. He then steps 1.15 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.