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Consider two displacements, one of magnitude 3.0 m and another of magnitude 3.8 m. What angle between the directions of this two displacements give a resultant displacement of magnitude (a) 5.7 m, (b) 2.5 m, and (c) 3.6 m.

I have tried to draw the triangle and then use law of cosines and sines to find the appropriate angle but it seems to not be going the way I want it. Is this the correct solution or is there another way to go?

Any help is greatly appreciated.