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    Question

    Two points A and B are located such that the distance

    between them is 100 meters. If point A is at the origin and point B is at an angle of 30 degrees from the positive x-axis, find the coordinates of point B.
    A (50, 86.6) Correct Answer Incorrect Answer
    B (75, 50) Correct Answer Incorrect Answer
    C (100, 0) Correct Answer Incorrect Answer
    D (86.6, 50) Correct Answer Incorrect Answer

    Solution

    The coordinates of point B can be found using: x = r * cos θ = 100 * cos(30 degrees) = 100 * (√3/2) = 86.6. y = r * sin θ = 100 * sin(30 degrees) = 100 * (1/2) = 50. So, coordinates of point B = (86.6, 50). Correct Answer: d) (86.6, 50)

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