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This seems like a simple trig problem, but it has me stumped:

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I have a rope of length L (where L is >30). I attach the ends of that rope at points (60,0) and (90,0). I then attach a pulley that rides along that rope and pull on that pulley with another rope whose end is at point (0,30). I pull from point (0,30) until the system is taught. What are the angles the first rope makes with the horizontal at the two attachment points as a function of its length L?

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