Engineering Board Exam Reviewer · Solutions to Right Triangles · hard

From a window 20 m above the ground, the angle of elevation of the top of the building across the street is 38° and the angle of depression of its base is 52°. Find the height of that building in meters.

  1. 12.21
  2. 32.21
  3. 24.42
  4. 40

Answer

B. 32.21

Solution

The horizontal distance is d=20/ 52°=15.63 m. The part above the window is d 38°=12.21 m. Height =20+12.21=32.21 m.

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