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    Question

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

    from the top of a tower, 35 feet high, is 45°. Find the distance of the point on the ground from the foot of the tower.
    A 35/√3 feet Correct Answer Incorrect Answer
    B 35√3 feet Correct Answer Incorrect Answer
    C 35 feet Correct Answer Incorrect Answer
    D 35√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 = 35 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° = 35/x ⇒ 1 = 35/x ⇒ x = 35 feet

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