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anonymous

  • one year ago

The angle of depression from the top of the tree to the tip of the shadow is 25°. Find the height of the tree to the nearest tenth. a. 16.8 feet b. 18.2 feet c. 23.4 feet d. 39.7 feet

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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  3. freckles
    • one year ago
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    |dw:1437363564659:dw| just use the tangent ratio

  4. freckles
    • one year ago
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    though that is the angle of elevation not angle of depression

  5. anonymous
    • one year ago
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    how do i solve it what equation

  6. freckles
    • one year ago
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    alpha is the angle of elevation which is 25 deg recall tan is opp divided by adjacent

  7. anonymous
    • one year ago
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    which one is adjacent

  8. freckles
    • one year ago
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    since it does say angle of depression I wonder if it is talking about this angle being 25 deg|dw:1437363976910:dw|

  9. freckles
    • one year ago
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    |dw:1437364051842:dw| but that still makes that one angle 25 deg

  10. anonymous
    • one year ago
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    so what do i divide by

  11. freckles
    • one year ago
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    so it didn't matter

  12. freckles
    • one year ago
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    you just do \[\tan(25)=\frac{\text{ opp side of the angle with measurement } 25 \deg}{ \text{ adj side of the angle with measurement } 25 \deg}\]

  13. freckles
    • one year ago
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    the opp side is what I called h in the picture

  14. freckles
    • one year ago
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    anyways let me know if you need further help

  15. anonymous
    • one year ago
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    i dont know what the measurement is

  16. freckles
    • one year ago
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    which one?

  17. anonymous
    • one year ago
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    h

  18. freckles
    • one year ago
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    h is what you are solving for

  19. freckles
    • one year ago
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    remember h is the height of the tree

  20. freckles
    • one year ago
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    that is what you are solving the equation for

  21. freckles
    • one year ago
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    you are given the adjacent side the side that touches the angle (and no adjacent side is not the hyp)

  22. freckles
    • one year ago
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    |dw:1437364301549:dw|

  23. anonymous
    • one year ago
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    so what next

  24. freckles
    • one year ago
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    pluggin those numbers into equation I gave

  25. freckles
    • one year ago
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    then just solving it for h and then bingo you are done

  26. triciaal
    • one year ago
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    use the equation given above by @freckles

  27. freckles
    • one year ago
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    \[\tan(25)=\frac{\text{ opp side of the angle with measurement } 25 \deg}{ \text{ adj side of the angle with measurement } 25 \deg} \\ \tan(25)=\frac{h}{36}\] notice I just put what I called the opp where I said opp side notice I just put what I called the adjacent measurement for the adjacent side can you solve the equation?

  28. triciaal
    • one year ago
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    |dw:1437364501206:dw|

  29. triciaal
    • one year ago
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    did you get A?

  30. anonymous
    • one year ago
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    i didnt get anything yet

  31. anonymous
    • one year ago
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    what i got 900. i know that isnt right

  32. freckles
    • one year ago
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    ok @GEOMETRYHELP10011 do you know how to do tan(25) in your calculator ?

  33. anonymous
    • one year ago
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    no

  34. freckles
    • one year ago
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    oh that could be a big problem for solving the equation

  35. freckles
    • one year ago
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    because it does require you to type tan(25) in your calculator

  36. freckles
    • one year ago
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    you should see a button with tan on it

  37. freckles
    • one year ago
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    you should see it next to things like sin and cos

  38. freckles
    • one year ago
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    if you can't find them tell me the name of your calculator and I can tell you where it is

  39. anonymous
    • one year ago
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    i got at 16.7

  40. freckles
    • one year ago
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    ok that's great

  41. freckles
    • one year ago
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    that is what I and @triciaal also got

  42. freckles
    • one year ago
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    well 16.8

  43. triciaal
    • one year ago
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    to round to the nearest tenth solve to 2 decimals you have 16.78 then look at the 2nd place if 5 or more add 1 to the digit before 8 is more than 5 so you round to 16.8 if the 2nd digit was less than 5 then you would drop it and round to 16.7

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