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      Question

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

      from the top of a tower, 25 feet high, is 45°. Find the distance of the point on the ground from the foot of the tower.
      A 25/√3 feet Correct Answer Incorrect Answer
      B 25√3 feet Correct Answer Incorrect Answer
      C 25 feet Correct Answer Incorrect Answer
      D 25√2 feet Correct Answer Incorrect Answer

      Solution

      Let θ be the angle of depression of the point on the ground as seen from the top of a tower, here θ = 45° Let AC be the height of the tower, here AC = 25 feet. Let the distance of the point on the ground from the foot of the tower, AB = x feet. Here, tan θ = AC/AB ⇒ tan 45° = 25/x ⇒ 1 = 25/x ⇒ x = 25 feet

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