Engineering Board Exam Reviewer · Solutions to Oblique Triangles · medium

Two ships leave port at the same time. One sails on a bearing of N 20° E at 18 knots and the other on a bearing of S 70° E at 24 knots. How far apart, in nautical miles, are they after 3 hours?

  1. 126
  2. 90
  3. 18
  4. 73.76

Answer

B. 90

Solution

After 3 h the distances are 54 and 72 nautical miles. The bearings are 20° and 110° from north, so the angle between the courses is 90°. Distance =sqrt(542+722)=90.

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