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      Question

      A man is standing at a point 40 meters away from a

      tower. The angle of elevation of the top of the tower from the point is 45°. After walking 20 meters towards the base of the tower, the angle of elevation becomes 60°. Find the height of the tower.
      A 40 meters Correct Answer Incorrect Answer
      B 20√3 meters Correct Answer Incorrect Answer
      C 20 meters Correct Answer Incorrect Answer
      D 40√3 meters Correct Answer Incorrect Answer

      Solution

      Let the height of the tower be h. Using tan(45°) = height / distance from the tower tan(45°) = h / 40 Since tan(45°) = 1, we get: h = 40 meters. Correct answer: a

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