Trig

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A ship leaves port at 6 am and heads due east at 20 knots. At 10 am, to avoid a storm the ship changes course to N 47° E.. (47° east of north). Find the ships distance from port at 4 pm.

  • Trig -

    first path:
    4 hrs at 20 knots = 80 n miles

    second path:
    6 hrs at 20 knots = 120 n miles
    angle between them = 90+47 = 137°

    I see a clear case of the cosine law:
    let x be the distance from port

    x^2 = 80^2 + 120^2 - 2(80)(120)cos137
    = ....
    x = √....

    you do the button-pushing

  • Trig -

    Sorry what do you mean by ^ ?

  • Trig -

    186.66 miles

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