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anonymous

  • 5 years ago

Igor who is 4ft 8inches tall wishes to find the height of an oak tree in front of his castle. He walks along the shadow of the tree until the end of his shadow excatly overlaps the end of the tree's shadow. At that point he is 22ft from the foot of the tree and 11ft from the end of the shadows. How tall is the oak tree? help would be amazing!!<33

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  1. anonymous
    • 5 years ago
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    What do you not understand?

  2. anonymous
    • 5 years ago
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    I could give you the answer but I'd like to help you learn how to solve these questions so you won't need help again.

  3. anonymous
    • 5 years ago
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    Well I don't understand how to draw the picture, the word probblems are weird to me

  4. anonymous
    • 5 years ago
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    Ok I will draw and attach sketches step by step.

  5. anonymous
    • 5 years ago
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    thanks so much!

  6. anonymous
    • 5 years ago
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    No problem, so first it says Igor is 4 feet and 8 inches tall. So draw a line from the "ground" and label its measure as 4 feet and 8 inches.

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  7. anonymous
    • 5 years ago
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    He wants to find the height of the oak tree, we'll make another line to the ground and label it X because we don't know what it is yet.

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  8. anonymous
    • 5 years ago
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    mkay yeah

  9. anonymous
    • 5 years ago
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    gotcha what next?

  10. anonymous
    • 5 years ago
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    So it would be 4.8/11=x/11?

  11. anonymous
    • 5 years ago
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    Whoops I misread something! I apologize! And no it's not 4.8 because it's 8 out of 12 inches not 8 out of 10.

  12. anonymous
    • 5 years ago
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    So what would the equation be?

  13. anonymous
    • 5 years ago
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    Ok first you understand the the height of the tree will be similar to the height of the man?

  14. anonymous
    • 5 years ago
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    yes

  15. anonymous
    • 5 years ago
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    Ok the sketch will actually look like the following and I will explain:

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  16. anonymous
    • 5 years ago
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    He follows the shadow until the end of his shadow is at the same point as the end of the tree's shadow. In this process he has moved 22 feet in front of the tree.

  17. anonymous
    • 5 years ago
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  18. anonymous
    • 5 years ago
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    From where he stands, the shadows end 11 feet away from him.

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  19. anonymous
    • 5 years ago
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    Now, see the 2 similar triangles?

  20. anonymous
    • 5 years ago
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    Tell me what you think the ratio of similarity should be.

  21. anonymous
    • 5 years ago
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    maybe 56/132=x/132?

  22. anonymous
    • 5 years ago
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    Good guess but no. If you look closely, you can see that to find the bottom side measurement of the larger triangle you must add 11 feet + 22 feet.

  23. anonymous
    • 5 years ago
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    So the tree's shadow is actually 33 feet long.

  24. anonymous
    • 5 years ago
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    and the man's is 11 feet long.

  25. anonymous
    • 5 years ago
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    So, in inches the similarity should be: 56/132 = x/396 Make sense?

  26. anonymous
    • 5 years ago
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    oh okay I see!:) thanks so much!!!

  27. anonymous
    • 5 years ago
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    I'm glad I could help :)

  28. anonymous
    • 5 years ago
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    Don't forget to convert the answer back to feet after you've finished!

  29. anonymous
    • 5 years ago
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    oh i totally forgot thanks!

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