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 below:

http://prntscr.com/94pwbu

What is the height of the house? Show your work and explain your reasoning in complete sentences.

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 below:

http://prntscr.com/94pwbu

What is the height of the house? Show your work and explain your reasoning in complete sentences.

leahhhmorgannn · Answer

@superdavesuper

leahhhmorgannn · Answer

Would this have something to do with the Angle-Angle postulate? They basically tell you one set of angles is congruent and maybe another by saying it's perpendicular (right angles), right?

superdavesuper · Answer

its similar triangles i think; read this: http://openstudy.com/study#/updates/559c27e6e4b04e1e6abea462 still looking to see if theres a better explanation....

leahhhmorgannn · Answer

I saw that one before but it didn't help much. I mean, I don't get how you'd find the height of the house given what you have.

superdavesuper · Answer

Ah, it IS AA; read this one instead: http://openstudy.com/study#/updates/53260a22e4b06a39f861d793

leahhhmorgannn · Answer

That one helps. thank you!

superdavesuper · Answer

welcome - there are Qs that have been asked n answered over n over here on OS. so u can always try looking up a different explanation ;)