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. 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:

Part 1: Prove the triangles are similar.
Part 2: Determine the height of the house.

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. 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:



Part 1: Prove the triangles are similar.
Part 2: Determine the height of the house.

anonymous · Answer

hmm lemme look

anonymous · Answer

@kdog1415

anonymous · Answer

do you know how to do it?

anonymous · Answer

no i have no idea im really confused:/

divinesolar · Answer

If they are similar than their ratios are similar. so
$$\frac{ 5 }{ 6 } = \frac{ y }{ 30 }$$
Now solve for the height of the house, Y

divinesolar · Answer

But first you would cross multiply the equation i just provided giving you, $$150 + 6y$$

divinesolar · Answer

Then you would solve for y :)!

anonymous · Answer

thank you!!:) but now i just need help proving the height of the house which idk if you got the pic

anonymous · Answer

attachment

divinesolar · Answer

well i provided my help maybe tag some people in see if they can help further. I got you started :)!