Question

Peter is 2 feet 9 inches away from the mirror, and the mirror is 11 feet away from the wall of the building. Peter knows his eye level was exactly 5 ft 6 inches off the ground, so he was able to calculate the height of the building. How tall is the building in feet?

a) 11 ft 9 in
b) 13 ft 3 in
c) 7 ft 9 in
d) 16 ft 9 in

Answer 1

The height of the building is 18 ft 3 in.

Step-by-step explanation:

The height of the building can be estimated by using the information provided. We know that Peter is 2 feet 9 inches away from the mirror, and the mirror is 11 feet away from the wall of the building. Peter's eye level is 5 ft 6 inches off the ground. Based on the Law of Reflection, we can determine the height of the building using the following formula:

Height of Building = Distance of Mirror from Wall + Distance of Peter from Mirror + Peter's Eye Level

Height of Building = 11 ft + 2 ft 9 in + 5 ft 6 in = 18 ft 3 in

Therefore, the height of the building is 18 ft 3 in.