Engineering Board Exam Reviewer · Solutions to Right Triangles · medium

A ship sails 12 km due east and then 5 km due north. At what angle, measured from north toward east, is its final position from the starting point? Give the answer in degrees.

  1. 22.62°
  2. 45°
  3. 60°
  4. 67.38°

Answer

D. 67.38°

Solution

The east displacement is 12 and the north displacement is 5, so the angle from north is 12/5=67.38°.

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