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      Question

      The angle of elevation of the top of a building from a

      point on the ground is 30┬░ and moving 40 meters towards the building it becomes 60┬░. The height of the building is.
      A 20 m Correct Answer Incorrect Answer
      B 20/тИЪ3 m Correct Answer Incorrect Answer
      C 20тИЪ3 m Correct Answer Incorrect Answer
      D 25тИЪ3 m Correct Answer Incorrect Answer

      Solution

      Let AB bee the height of the building. In тИЖACD and тИЖABC тИаACB = тИаCAD + тИаCDA 60┬░ = тИаCAD + 30┬░ тИаCAD = 30┬░ So, AC = CD AC = 40 m cosec 60┬░ = AC/AB 2/тИЪ3 = 40/AB AB = 20тИЪ3

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