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ME Board April 1991: A man standing on a 48.5 meter building high, has an eyesight height of 1.5 m from the top of the building, took a depression reading from the top of another nearby building and nearest wall, which are 50° and 80° respectively. Find the height of the nearby building in meters. The man is standing at the edge of the building and both buildings lie on the same horizontal plane.

  1. 39.49
  2. 35.50
  3. 30.74
  4. 42.55

Answer

A. 39.49

Solution

Eye elevation =48.5+1.5=50 m. Horizontal distance d=50/ 80° 8.82 m. Height of the nearby building =50-d 50° 50-10.51=39.49 m.

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