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anonymous

  • one year ago

Two birds sit at the top of two different trees 57.4 feet away from one another. The distance between the second bird and a bird watcher on the ground is 49.6 feet. What is the angle measure, or angle of depression, between the first bird and the bird watcher? Two trees that are 49 point 6 feet tall with a bird on top of each. Distance between the birds is 57 point 4 feet. Angle of depression between birdwatcher and first bird is unknown.

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @jim_thompson5910 @mathstudent55 @dan815 @DanJS

  3. anonymous
    • one year ago
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    hi

  4. DanJS
    • one year ago
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    hi

  5. DanJS
    • one year ago
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    are you familiar with sin cos and tangent

  6. anonymous
    • one year ago
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    well im a failure at it

  7. anonymous
    • one year ago
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    i know the 3 but im bad at the formulas and calculating

  8. DanJS
    • one year ago
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    sin = opp/hyp cos = adjacent / hypotenuse tan = opposite / adjacent

  9. DanJS
    • one year ago
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    which one do you think is the best here?

  10. anonymous
    • one year ago
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    tangent?

  11. DanJS
    • one year ago
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    yes. the tangent of an angle in a right triangle is the ratio of the side opposite that angle over the adjacent side

  12. DanJS
    • one year ago
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    \[\tan(\theta) = \frac{ 49.6 }{ 57.4 }\]

  13. DanJS
    • one year ago
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    \[\tan^{-1}[\tan(\theta)] = \theta =\tan^{-1}\frac{ 49.6 }{ 57.4 }\]

  14. DanJS
    • one year ago
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    you can use a calculator right? make sure it is in degree mode, not radians

  15. anonymous
    • one year ago
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    yes

  16. DanJS
    • one year ago
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    what you get for the angle theta

  17. anonymous
    • one year ago
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    wait a sec

  18. anonymous
    • one year ago
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    darn my calc doesn't do sin cos and tan

  19. DanJS
    • one year ago
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    haha, you prolly should get one for that class

  20. anonymous
    • one year ago
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    yea my mom said she's gonna buy me a 80$ calc just for math

  21. DanJS
    • one year ago
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    just open the windows calculator in accessories and put into scientific modeq

  22. anonymous
    • one year ago
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    i hav a mac

  23. DanJS
    • one year ago
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    ok well it is just calculator work, you would take the arctangent of that number, it is near 40 degrees

  24. DanJS
    • one year ago
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    you understand the trig functions though?

  25. anonymous
    • one year ago
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    wait arctan of what number?

  26. DanJS
    • one year ago
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    the tangent is the opposite side the angle over the hypotenuse, then i just took the arctangent of both sides

  27. anonymous
    • one year ago
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    it gave me 40.83067315

  28. DanJS
    • one year ago
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    \[\tan^{-1}[\tan(\theta)] = \theta =\tan^{-1}\frac{ 49.6 }{ 57.4 } \approx 40~degrees\]

  29. DanJS
    • one year ago
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    that is right

  30. anonymous
    • one year ago
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    what do i do now?

  31. anonymous
    • one year ago
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    is that the final answer?

  32. DanJS
    • one year ago
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    i have to run sorry, look up tangent and arctangent, the anser is what you said... gl

  33. anonymous
    • one year ago
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    tnx dude u rock

  34. anonymous
    • one year ago
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    *thnx

  35. anonymous
    • one year ago
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    :D

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