If the resultant force acting on the support is to be 1200 N, directed horizontally to the right,

If the resultant force acting on the support is to be 1200 N, directed horizontally to the right, determine the force F in rope A and the corresponding angle u (θ).
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Textbooks:
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Fundamentals of Engineering Thermodynamics 8th Edition (Wiley):
Moran, M. J., et. al., 2014, Fundamentals of Engineering Thermodynamics, 8th ed., Wiley, Hoboken, NJ.
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Engineering Mechanics Statics (Pearson):
Hibbeler, R. C. Engineering Mechanics Statics. Pearson Prentice Hall, Pearson Education, 2016.
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[tonyzavala]

Question: why not just perform the sine rule to find the theta angle? In my opinion it’s a lot easier and less work than the cosine rule. Good content overall- thank you!