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 below:
What is the height of the house? Show your work and explain your reasoning in complete sentences. PLEASE HELP THANKS

Answer 1

Work is in the attached picture. Whenever you are given a problem like this, draw it out. It makes it a lot easier!

The house is 25 feet tall.