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    Question

    From the top of a building, the angle of depression to a

    point on the ground is 45 degrees. If the building is 50 meters high, how far is the point from the base of the building?
    A 50 meters Correct Answer Incorrect Answer
    B 25 meters Correct Answer Incorrect Answer
    C 100 meters Correct Answer Incorrect Answer
    D 75 meters Correct Answer Incorrect Answer

    Solution

    Let the distance from the base of the building to the point be d meters. Using the angle of depression, we have: tan(45°) = height of the building / d 1 = 50 / d d = 50 meters Thus, the distance from the base of the building to the point is 50 meters.

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