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A stoplight is hung between three poles scattered around an intersection. The tops of the poles are located at the points (1, 1,9). (-1,

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A stoplight is hung between three poles scattered around an intersection. The tops of the poles are located at the points (1, 1,9). (-1, 1, 8), and (1,-1, 10). The stoplight lies at the point (x, y, 6).lying within the triangle formed by the lines x = 1, y = 1, and y=-x. Assume the ropes are taught at any stoplight location (x, y, 6). At what coordinate (x, y, 6) will the tension magnitudes in each rope be equal (up to a reasonably small error) if the stoplight weighs 200N?

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