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

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- anonymous

@triciaal Please help

- triciaal

look under closed questions.

- triciaal

never mind will do it again
use ratio for similar figures

- anonymous

Okay work me through this please

- triciaal

|dw:1438819867768:dw|

- phi

15 feet away from her house and places a mirror on the ground

- triciaal

h is the height of the house
15 - 4 = 11

- anonymous

So the height of her house is 11?

- phi

I think the mirror is 15 ft from the house

- anonymous

What do you mean phi?

- phi

I mean the bottom labeled 11 should read 15
she walked 15 ft from the house , put down the mirror
then walked 4 more ft (away from the house, based on the picture)

- anonymous

So h is 18.75?

- phi

** bottom labeled 11 should read 15 in tricals figure

- anonymous

So the height is 18.75?

- phi

I get 5*15/4 = 75/4 = 18.75 yes

- triciaal

sorry do that use 15
the angle is the same

- triciaal

|dw:1438820529296:dw|

- anonymous

18.75 Ty :)

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