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Math Help - True bearing question

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    True bearing question

    A bridge 11 km long connects city T in the south and city K in the north. The true bearing of a ship S is 120o from T. The distance between the ship S and T is 15 km. Find the distance between the ship S and K. [Answer correct to 1 decimal place]


    This question is confusing me...any help please would be appreciated.
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    Quote Originally Posted by Joel View Post
    A bridge 11 km long connects city T in the south and city K in the north. The true bearing of a ship S is 120o from T. The distance between the ship S and T is 15 km. Find the distance between the ship S and K. [Answer correct to 1 decimal place]


    This question is confusing me...any help please would be appreciated.
    make a sketch and use the law of cosines.

    t^2 = s^2 + k^2 - 2sk\cos{T}
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