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      Question

      Raju is positioned 30 meters away from the base of a

      tower. From his standing point, the angle of elevation to the top of the tower is 45°. Determine the height of the tower.
      A 60 m Correct Answer Incorrect Answer
      B 30 m Correct Answer Incorrect Answer
      C 40 m Correct Answer Incorrect Answer
      D 20 m Correct Answer Incorrect Answer

      Solution

      Image
      Let the height of tower = AC and position of Rajat is 'B'.

      In DABC,

      tan45o = (AC/BC) = (AC/30)

      Or, 1 = (AC/30)

      Or, AC = 30

      So, height of the tower = 30 metres

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