max1409
  • max1409
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
Mathematics
jamiebookeater
  • jamiebookeater
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max1409
  • max1409
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max1409
  • max1409
anyone have any idea?
abb0t
  • abb0t
anyone have any idea?

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max1409
  • max1409
@abb0t dude this is a not a chat please stop
abb0t
  • abb0t
@abb0t dude this is not a chat please stop
max1409
  • max1409
@abb0t reported
max1409
  • max1409
?
anonymous
  • anonymous
|dw:1440807663975:dw|
max1409
  • max1409
so 4x=75
max1409
  • max1409
so x=75/4
anonymous
  • anonymous
correct
max1409
  • max1409
x=18.75
max1409
  • max1409
correct/
max1409
  • max1409
?
anonymous
  • anonymous
yes
max1409
  • max1409
So i would write side A is 5 side B is 14 D 15 and E is x
max1409
  • max1409
max1409
  • max1409
?
anonymous
  • anonymous
|dw:1440808213300:dw|
max1409
  • max1409
so how would i put it in a sentence ?
max1409
  • max1409
?
anonymous
  • anonymous
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.
max1409
  • max1409
ok
anonymous
  • anonymous
CB=4 ft
max1409
  • max1409
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
max1409
  • max1409
@surjithayer is that good
max1409
  • max1409
?
anonymous
  • anonymous
In triangles ACB and DBE
abb0t
  • abb0t
@abb0t reported

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