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sine rule

2 goal posts are 8m apart. A footballer is 34m from 1 post and 38m from the other, with what angle must he kick the ball if he has to score a goal.

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  1. Law of cosines
    c^2 = a^2 + b^2 - 2 a b cos C
    8^2 = 34^2 + 38^2 - 2* 34*38* cos C
    64 = 1156 + 1444 - 2584 cos C
    2584 cos C = 2536
    cos C = 0.981424
    C = 11.0608 degrees

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