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      Question

      The angle of depression of a point on the ground as seen

      from the top of a tower, 20 feet high, is 45Β°. Find the distance of the point on the ground from the foot of the tower.
      A 20/√3 feet Correct Answer Incorrect Answer
      B 20√3 feet Correct Answer Incorrect Answer
      C 20 feet Correct Answer Incorrect Answer
      D 20√2 feet Correct Answer Incorrect Answer

      Solution

      Let ΞΈ be the angle of depression of the point on the ground as seen from the top of a tower, here ΞΈ = 45Β° Let AC be the height of the tower, here AC = 20 feet. Let the distance of the point on the ground from the foot of the tower, AB = x feet. Here, tan ΞΈ = AC/AB β‡’ tan 45Β° = 20/x β‡’ 1 = 20/x β‡’ x = 20 feet

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