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Math Help - Trigonometry: Bearings

  1. #1
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    Exclamation Trigonometry: Bearings

    An oil tanker sails from a port P to port Q, 20km away and on a bearing of 110 degrees from P. After reaching Q, it sets sail to R, 15 km away and on a bearing of 150 degrees from Q. It then proceeds to sail to S, a port 20 km away and on a bearing of 050 degrees from R. Draw a sketch to indicate the relative positions of the ports P, Q, R and S. Calculate
    a) how far south of P is S
    b) how far east of P is S
    c) the bearing of S from P.
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  2. #2
    MHF Contributor Unknown008's Avatar
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    Did you make your sketch?

    Using trigonometric ratios, you'll see that for the part A, S is 20\cos20 + 15\cos60 - 20\cos50

    What about you posting what you tried so far?
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  3. #3
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    Quote Originally Posted by Ilsa View Post
    An oil tanker sails from a port P to port Q, 20km away and on a bearing of 110 degrees from P. After reaching Q, it sets sail to R, 15 km away and on a bearing of 150 degrees from Q. It then proceeds to sail to S, a port 20 km away and on a bearing of 050 degrees from R. Draw a sketch to indicate the relative positions of the ports P, Q, R and S. Calculate
    a) how far south of P is S
    b) how far east of P is S
    c) the bearing of S from P.
    Note the attached diagram with displacement vectors and their respective components ...

    x - components

    y - components

    determine the angles relative to East and use your knowledge of right triangle trig to answer the questions.
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