Explanation

They were expected to resolve the forces vertically and horizontally to have; (\(^{5 \cos 60^o}_{5 \sin 60^o}\)) + (\(^{P \cos 30^o}_{P \sin 30^o}\)) + (\(^{Q \cos 60^o}_{-Q \sin 60^o}\)) + (\(^{3 \cos 90^o}_{-3 \sin 90^o}\)) +  (\(^{-5 \cos 0^o}_{5 \sin 0^o}\)) = (\(^0_0\))

which simplifies to;

(\(^{0.866P + 0.5Q}_{0.5P - 0.866Q}\)) = (\(^{2.5}_{-1.33}\)) 

This will yield two equations to be solved, the equations are  0.866P + 0.5Q = 2.5 and 0.5P - 0.866Q = -1.33

When these equations are solved, they will give P = 1.5 and Q = 2.4019

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