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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/√3 feet Correct Answer Incorrect Answer
    B 65√3 feet Correct Answer Incorrect Answer
    C 65 feet Correct Answer Incorrect Answer
    D 65√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 = 65 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° = 65/x ⇒ 1 = 65/x ⇒ x = 65 feet

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