Question

Peter walks 30 feet away from his house and places a mirror on the ground. He backs 6 feet away from the mirror so that he can see the tip of the roof. Peter's eyes are 5 feet above the ground. Peter and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Peter's eyes, the mirror, and the ground are congruent as shown in the image:

Image depicts a mirror on the ground between a person and a house. The mirror is 4 feet away from the person and 15 feet away from the house.

Part 1: Prove the triangles are similar.

Answer 1

Part 2: Determine the height of the house.

Answer 2

@dan815

Answer 3

@jdoe0001

Answer 4

Someone please help.

Answer 5

@ybarrap

Answer 6

@amistre64

Answer 7

@letbuildacar