Peter was told by his teacher that he needed to measure the height of the building in which his classroom was located. He backs away from the building and places a mirror on the ground between him and the wall. When he can see the top of the building in the mirror, Peter is 2 feet 9 inches away from the mirror and the mirror is 11 feet away from the wall of the building. Peter knew his eye level was exactly 5 ft 6 inches off of the ground, so he was able to calculate the height of the building. How tall is the building in feet?