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    Question

    From the top of a tower 60 meters high, the angle of

    depression of two points on the ground on opposite sides of the tower are 30° and 60°. Find the distance between the two points.
    A 40√3 meters Correct Answer Incorrect Answer
    B 60√3 meters Correct Answer Incorrect Answer
    C 80√3 meters Correct Answer Incorrect Answer
    D 100√3 meters Correct Answer Incorrect Answer

    Solution

    Let the distances of the two points from the base of the tower be d1 and d2. From the first point: tan(30°) = 60/d1, so d1 = 60√3 meters. From the second point: tan(60°) = 60/d2, so d2 = 60/√3 =   20√3 meters. Distance between the points = d1 + d2 = 60√3  + 20√3  = 80√3 meters. Correct option: c) 80√3

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