Engineering Board Exam Reviewer · Solutions to Oblique Triangles · hard

Two observers A and B, 500 m apart on a level road, see an airplane in the vertical plane through them. The airplane is on the same side of both observers, with B nearer to it. The angles of elevation are 40° at A and 70° at B. Find the height of the airplane in meters.

  1. 939.69
  2. 604.02
  3. 321.39
  4. 1373.74

Answer

B. 604.02

Solution

In triangle ABP: A=40°, ABP=180°-70°=110°, so P=30°. AP=500 110°/ 30°=939.69 m and h=AP 40°=604.0 m.

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