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:

Answer 1

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

Answer 2

@saraked11

Answer 3

hey ill help yah

Answer 4

i can try atleast.

Answer 5

how do u think u start it?

Answer 6

do i solve what i gone know for the smaller triangle? using the Pythagorean theorem?

Answer 7

@ThomasMcG40

Answer 8

-slowly backs up because i just wanted an excuse to talk to the pretty girl-

Answer 9

...damnit..

Answer 10

I really don't know or I would help you I'm sorry!!

Answer 11

would x be 30? jw?

Answer 12

that looks right

Answer 13

ok cause 5x5 =25 which is 5 for the smaller triangle and 25 for the bigger one. so then id do the same and make it 6x5= 30..
would that answer a and b?

Answer 14

@bibby

Answer 15

similarity means all the sides are in a constant proportion so i think u have to find the hypotenuse. use the pythagorean theorem

sorry the site crashed

Answer 16

soo a^2+b^2=c^2
6^2+5^2=c^2
36+25=61
61 squared is.. 8 rounded...

Answer 17

did i do something wrong im confused :c
@bibby

Answer 18

I'm sorry the site isn't cooperating with me rn, I hate openstudy so much agh
don't round it yet

just get it in terms of the roots \(a^2+b^2=c^2\\5^2+6^2=c^2\\c^2=25+36\\c^2=61\\c=\sqrt{61}\)

do the same thing for the big one

Answer 19

ok. so the answer
25^2+30^2=c^2
625+900=1525

Answer 20

yeah and so c = sqrt 1525

the answer is to prove that the proportions of the sides are equal

Answer 21

rounded its 39

Answer 22

but when i left both answers the same without rounding it added up. the square of 61 x 5 was the number i got from square of 1525

Answer 23

@bibby

Answer 24

when I said keep it in terms of the root I meant it cause we're trying to prove that

\(\dfrac{25}{5}=\dfrac {30}{6}=\dfrac{\sqrt{1525}}{\sqrt{61}}\)

Answer 25

wut .-.

Answer 26

@bibby

Answer 27

how do you prove 2 shapes are similar?