I NEED HELP FAST I WILL FAN MENTION MEDAL I NEED HELP ASAP!!

Question

anonymous · Answer

Annie walks 15 feet away from her house and places a mirror on the ground. She backs 4 feet away from the mirror so that she can see the tip of the roof. Annie's eyes are 5 feet above the ground. Annie and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Annie'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.
Part 2: Determine the height of the house.

anonymous · Answer

attachment

anonymous · Answer

@jim_thompson5910

anonymous · Answer

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anonymous · Answer

SOMEONE PLEASE HELP I NEED HELP ASAP

anonymous · Answer

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ddcamp · Answer

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ddcamp · Answer

Since both triangles are right triangles (perpendicular to the ground), and the angles on the  mirror are congruent, two angles are congruent. This is enough to know that they are similar.

anonymous · Answer

alright so what would be next how would i show that they are similar ??

ddcamp · Answer

angle-angle similarity: "If two angles in a pair of triangles are congruent, the triangles are similar."

anonymous · Answer

so i could say it would be AAS  because if two angels are in a pair of triangels they are congruent so they are similar?

ddcamp · Answer

You're not saying they're congruent, just similar. Because of that it's just AA.

anonymous · Answer

so i would that they are AA

ddcamp · Answer

Yup!
If these triangles are similar, how would you find h?
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anonymous · Answer

i get that bust how would i say the answer for 1?

anonymous · Answer

@DDchamp

acxbox22 · Answer

since the two triangles are similar you can use proportions to solve for h

anonymous · Answer

i understand that i need help how would i say for number 1 how would i say that they r similar it says to prove it

acxbox22 · Answer

you can prove it in a variety of ways like @DDCamp showed you

anonymous · Answer

how would i put it in words ??? i need help with #2 please fast !!! @acxbox22