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A car is being pulled out of the mud by two forces that are applied by the two ropes shown in the drawing. The dashed line in the drawing bisects the 30.0° angle. The magnitude of the force applied by each rope is 2900 newtons (N).

(a) How much force would a single rope need to apply to accomplish the same effect as the two forces added together?

(b) What angle would the single rope make relative to the dashed line?

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