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anonymous

  • one year ago

Annie walks 15 feet away from her house and places a mirror on the ground. she backs up 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 annies eyes, the mirror and the ground are congruent. what is the length of this house, explain your reasoning.

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  1. anonymous
    • one year ago
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  2. triciaal
    • one year ago
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    hint similar figures and pythagorean theorem

  3. anonymous
    • one year ago
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    I know that but im still confused

  4. anonymous
    • one year ago
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    @pooja195 please help

  5. anonymous
    • one year ago
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    @dan815

  6. triciaal
    • one year ago
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    |dw:1438231729884:dw|

  7. triciaal
    • one year ago
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    |dw:1438231818539:dw|

  8. anonymous
    • one year ago
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    would it be 11?

  9. anonymous
    • one year ago
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    @triciaal

  10. triciaal
    • one year ago
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    no solving for h try again

  11. anonymous
    • one year ago
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    does it have to do with annie and the house being perpendicular to the ground?

  12. triciaal
    • one year ago
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    |dw:1438232282626:dw|

  13. triciaal
    • one year ago
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    yes because perpendicular then forms right triangle 2 angles same so you can use ratios

  14. anonymous
    • one year ago
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    The triangles are similar because they all have the same angles. The two triangles are both 90˚ angles and they both have another angle that is the same (as indicated by the circle fragment on the picture). That means that the last angle will be the same. Triangles are similar when they have the same angles but don't have to have the same lengths. If the triangles are similar, the side lengths are in ratios. You are given the length of the side that corresponds with the third angle, which are 4 and 15. So the ratio of the lengths of the small to large triangle is 4:15. You are given another length (Height of Annie's eyes), which is 5. This can help you find the height of the house. Let x=height of the house. So 4/15 = 5/x 4x=5*15=75 x=75/4 x=18.75 ft Hopes this helps man :)

  15. triciaal
    • one year ago
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    this will give the same result |dw:1438232558848:dw|

  16. triciaal
    • one year ago
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    @Icedragon50 agree with your explanation except not 15 use 11 see sketch

  17. anonymous
    • one year ago
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    hmm why would we use 11

  18. triciaal
    • one year ago
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    look at the original in addition to that 15 - 4 = 11

  19. anonymous
    • one year ago
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    Using your method we would still get the same answer tho so both r correct :3 Heres a medal for ya

  20. triciaal
    • one year ago
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    we have the same method read above your explanation is correct you cannot get the same answer with different numbers will give you one too

  21. anonymous
    • one year ago
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    what was h ?

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