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Trigonometry Word Problem involving Inverse trigonometric functions

  1. Aug 31, 2012 #1
    1. The problem statement, all variables and given/known data
    A ship is d feet from a dock (horizontal distance). The dock is 40 feet above sea level. The angle of depression from the dock to the ship is θ. Write θ as a function of d.

    2. Relevant equations
    This question is accompanied with choices. The choices are
    [tex](A) θ = 40arctan(d)[/tex]
    [tex](B) θ = arctan(\frac{40}{d})[/tex]
    [tex](C) θ = arcsin(\frac{d}{60})[/tex]
    [tex](D) θ = \frac{arctan(d)}{40}[/tex]
    [tex](E) none of these[/tex]

    3. The attempt at a solution
    First, I would like to know if my graphical representation of this problem is correct.
    s30opz.png
    Thank you!
     
    Last edited: Aug 31, 2012
  2. jcsd
  3. Aug 31, 2012 #2

    HallsofIvy

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    Do you know the definitions of "sine", "tangent", etc.? If not, look them up. Once you know them you will see that this problem is trivial.
     
  4. Aug 31, 2012 #3

    ehild

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    It is a very nice (and correct) drawing, with a very big ship.:smile:

    ehild
     
  5. Aug 31, 2012 #4
    Ok sir so if my interpretation of the problem is right, then it would be right if I answer choice B right? Thank you! :smile:
     
  6. Aug 31, 2012 #5

    ehild

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    YES!

    ehild
     
  7. Aug 31, 2012 #6
    Yes! I made it right. I just wonder if my understanding was right because I'm not from an English-based country so some phrasing are not clear to me. Thank you everyone! :biggrin:
     
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