Paul walks 25 feet away from his house and places a mirror on the ground. He backs 5 feet away from the mirror so that he can see the tip of the roof. Paul's eyes are 6 feet above the ground. Paul and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Paul'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

Paul walks 25 feet away from his house and places a mirror on the ground. He backs 5 feet away from the mirror so that he can see the tip of the roof. Paul's eyes are 6 feet above the ground. Paul and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Paul'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

attachment

campbell_st · Answer

you can prove the triangles are similar using the Angle Angle Postulate

then use the ratio of corresponding sides to find the height of the house

anonymous · Answer

@campbell_st would that be my answer or would i have to add more to it?

campbell_st · Answer

well you are asked to prove the similarity 

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