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Math Help - Optimization-Ship Distance question

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    Optimization-Ship Distance question

    This question is frustrating me I tried it 10 times... not sure what i am doing wrong help would be much appreciated.

    A ship is sailing due north at 12 kn when it observes another ship dead ahead at a distance of 15 n. mi. The second ship is sailing due east at 9 kn. What is the closest distance of approach of the two ships?
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    Quote Originally Posted by Calculus23 View Post
    This question is frustrating me I tried it 10 times... not sure what i am doing wrong help would be much appreciated.

    A ship is sailing due north at 12 kn when it observes another ship dead ahead at a distance of 15 n. mi. The second ship is sailing due east at 9 kn. What is the closest distance of approach of the two ships?
    let the northbound ship start at (0,0)

    let the eastbound ship start at (0,15)

    northbound ship's position (x,y) as a function of time, t , in hrs ...

    (0,12t)

    eastbound ship's position (x,y) as a function of time ...

    (9t,15)

    use the distance formula to set up an expression for the distance between the two ships as a function of time ... take the time derivative and minimize.
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    How do i set up the expression :S
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    Quote Originally Posted by Calculus23 View Post
    How do i set up the expression :S
    what is the distance formula between two points in a plane?
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