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PrecalculusHardTriangle Trigonometry and Vectors

Triangle Trigonometry and Vectors · Hard problem

A 5050-lb weight hangs at rest from two cables tied to a horizontal ceiling, one on each side of the weight. One cable makes an angle of 30∘30^\circ with the ceiling and the other makes an angle of 60∘60^\circ with the ceiling. Find the tension, in pounds, in the cable that makes the 30∘30^\circ angle.