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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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