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A ship sails 50 km on a bearing of 70 degrees. How far North is it from its starting position.

  • Mathematics - ,

    Assuming that "bearing" to you means North = 0 and you are going clockwise.

    Make a sketch and complete the right-angled triangle:
    sin20° = y/50 ---> y = 50sin20 = appr 17.1 km
    cos70° = y/50 ---> y = 50cos70 = appr 17.1 km

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