A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

max1409

  • one year ago

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

  • This Question is Closed
  1. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1 Attachment
  2. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    anyone have any idea?

  3. abb0t
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    anyone have any idea?

  4. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @abb0t dude this is a not a chat please stop

  5. abb0t
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @abb0t dude this is not a chat please stop

  6. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @abb0t reported

  7. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ?

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1440807663975:dw|

  9. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so 4x=75

  10. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so x=75/4

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    correct

  12. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x=18.75

  13. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    correct/

  14. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ?

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  16. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  17. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @surjithayer

  18. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ?

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1440808213300:dw|

  20. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so how would i put it in a sentence ?

  21. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ?

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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.

  23. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    CB=4 ft

  25. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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

  26. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @surjithayer is that good

  27. max1409
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ?

  28. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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. \[\frac{ 5 }{ 4 }=\frac{ x }{ 15 },x=?\]

  29. abb0t
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @abb0t reported

  30. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.