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Math Help - multivariable trigo or a simple one?

  1. #1
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    Cool multivariable trigo or a simple one?

    well,, there is a ship 1( speed is 12 mph) who leaves midnight at port O in the direction S 60 degrees E. After 2 hours, ship 2 (speed is 10 mph) leave port O at direction N 40 E. At what time will ship 2 be exactly north of ship 1?

    PS: this problem confuses me alot.. is there a way to analyze this better, coz i put a lot o unkowns in the drawing or figure..
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    Quote Originally Posted by aeroflix View Post
    well,, there is a ship 1( speed is 12 mph) who leaves midnight at port O in the direction S 60 degrees E. After 2 hours, ship 2 (speed is 10 mph) leave port O at direction N 40 E. At what time will ship 2 be exactly north of ship 1?

    PS: this problem confuses me alot.. is there a way to analyze this better, coz i put a lot o unkowns in the drawing or figure..
    both ships will have the same x-position when one is directly north of the other ...

    let port O be at the origin.

    x_1 = 12\cos(30) \cdot (t+2)

    x_2 = 10\cos(50) \cdot t

    set x_1 = x_2 and solve for t, the number of hrs after ship 2 leaves port.
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