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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 45┬░. Find the distance of the point on the ground from the foot of the tower.
    A 20/тИЪ3 feet Correct Answer Incorrect Answer
    B 20тИЪ3 feet Correct Answer Incorrect Answer
    C 20 feet Correct Answer Incorrect Answer
    D 20тИЪ2 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 = 20 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┬░ = 20/x тЗТ 1 = 20/x тЗТ x = 20 feet

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