$(14\%)$ Problem $4$: Consider the three vectors shown in the figure. They have magnitudes $|A|=34\mathrm{.}5,|B|=10\mathrm{.}5,$ and $|C|=33\mathrm{.}1,$ and the labeled angles are ${}_A=40,{}_B=20,$ and ${}_C=15.$ Note that the figure shows the definitions of the angles, but the arrows in the figure may not be to scale.

$17\%$ Part $($a$)$ In what quadrant is the vector vec$(A)+$vec$(B)+$vec$(C)?$

Q$4$ Correct!

$17\%$ Part $($b$)$ What is the magnitude of the vector vec$(A)+$vec$(B)+$vec$(C)?$

$|vec(A)+$vec$(B)+$vec$(C)|=10\mathrm{.}11,$ Correct!

$17\%$ Part $($c$)$ What is the angle between the positive $x-$axis and the vector, measured clockwise in degrees?

${}_1=$