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Math Help - Word problem confusion

  1. #1
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    Word problem confusion

    The question:

    A cruise ship sailed north for 50km. Than the captain turned the ship eastward through an angle of pi/6 and sailed an additional 50km. Without using a calculator, determine an exact expression for the direct distance from the start to the finish of the cruise.
    Answer at the back of the book: sqr(5000+2500sqr3) km

    Seems pretty simple and maybe I'm thinking of this question the wrong way, but I can't seem to figure out where they got that answer.

    All help greatly appreciated!
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Draw the "triangle"...
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  3. #3
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    Quote Originally Posted by Also sprach Zarathustra View Post
    Draw the "triangle"...
    I've tried...but wasn't very successful I got a different answer that what it states in the back of the book so I was wondering if either I did something wrong or if the book made a mistake.
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  4. #4
    Senior Member MacstersUndead's Avatar
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    Recall the special triangles you learned in class. Do you remember this one? You've probably seen this in the form of radian angles and with sides 1, 2, sqrt(3). (pi/6 = 30 degrees)


    Use this ratio to determine the total displacement north and displacement east. then use Pythagoras to find x.

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