$(20\%)$ Problem $3$: Consider the three vectors shown in the figure. They have magnitudes $|A|=37.$ vec$(B)||=7\mathrm{.}5,$ and $|vec(C)|=33\mathrm{.}6,$ and the labeled angles ate ${}_{}=40,{}_R=20,$ and ${}_C=15$ Note that the figure stows the definitions of the angles, but the arrows in the figure may not he to scale