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      Question

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

      from the top of a tower, 65 feet high, is 45┬░. Find the distance of the point on the ground from the foot of the tower.
      A 65/тИЪ3 feet Correct Answer Incorrect Answer
      B 65тИЪ3 feet Correct Answer Incorrect Answer
      C 65 feet Correct Answer Incorrect Answer
      D 65тИЪ2 feet Correct Answer Incorrect Answer

      Solution

      Let ╬╕ be the angle of depression of the point on the ground as seen from the top of a tower, here ╬╕ = 45┬░ Let AC be the height of the tower, here AC = 65 feet. Let the distance of the point on the ground from the foot of the tower, AB = x feet. Here, tan ╬╕ = AC/AB тЗТ tan 45┬░ = 65/x тЗТ 1 = 65/x тЗТ x = 65 feet

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