Question

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:

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.

What is the height of the house? S

Answer 1

anyone have any idea?

Answer 2

anyone have any idea?

Answer 3

@abb0t dude this is a not a chat please stop

Answer 4

@abb0t dude this is not a chat please stop

Answer 5

@abb0t reported

Answer 6

?

Answer 7

so 4x=75

Answer 8

so x=75/4

Answer 9

correct

Answer 10

x=18.75

Answer 11

correct/

Answer 12

?

Answer 13

yes

Answer 14

So i would write side A is 5 side B is 14 D 15 and E is x

Answer 15

@surjithayer

Answer 16

?

Answer 17

so how would i put it in a sentence ?

Answer 18

?

Answer 19

let AC ( the height of man's eye)=5 ft,
B be the position of mirror
BE( the distance of mirror from house)=15ft
Let height of house DE=x
CB (the distance of man from mirror)+4 ft
angle of incidence=angle of reflection.

Answer 20

ok

Answer 21

CB=4 ft

Answer 22

AC is 5 ft B is the position of the mirror Be is 15 ft DE is x CB is 4 ft. So 5 over 4 equals x over 15. So 4x=75 and 75 divided by 4 equals x=18.75

Answer 23

@surjithayer is that good

Answer 24

?

Answer 25

In triangles ACB and DBE
<ABC=<DBE (angle of incidence=angle of reflection)
<ACB=<DEB (each right angle)
so triangles are similar.
Hence sides are proportional.
\[\frac{ 5 }{ 4 }=\frac{ x }{ 15 },x=?\]

Answer 26

@abb0t reported