Engineering Board Exam Reviewer · Solutions to Oblique Triangles · medium

Points A and B are 120 m apart on level ground. A point C is sighted so that angle CAB=75° and angle CBA=62°. Find the distance AC in meters.

  1. 169.96
  2. 92.69
  3. 155.36
  4. 109.69

Answer

C. 155.36

Solution

C=180°-75°-62°=43°. By the law of sines, AC=AB B/ C=120 62°/ 43°=155.35 m.

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