Determine the magnitude and coordinate direction angles of F3 so that resultant of the three forces acts

Question:

Determine the magnitude and coordinate direction angles of F3 so that resultant of the three forces acts along the positive y axis and has magnitude FR.

Given:
FR = 600 lb
F1 = 180 lb
F2 = 300 lb
φ = 40 deg
θ = 30 deg

Determine the magnitude positive y axis and has magnitude
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