A pinball bounced around its machine before coming to rest between two bumpers. Before coming to rest, the ball's displacement was recorded as a series of vectors. All the angles are measured counterclockwise from the horizontal $x$ axis.

vec$(d{)}_1$:$,83\mathrm{.}0cmat90\mathrm{.}0$

vec$(d{)}_2$:$,53\mathrm{.}0cmat143$

vec$(d{)}_3$:$,63\mathrm{.}0cmat227$

Determine the magnitude $d_{\text{t}\text{o}\text{t}\text{a}\text{l}}$ and direction ${}_{\text{t}\text{o}\text{t}\text{a}\text{l}}($measured counterclockwise from the $+x$ axis$)$ of the ball's total displacement vec$(d{)}_{\text{t}\text{o}\text{t}\text{a}\text{l}}.$

$d_{\text{t}\text{o}\text{t}\text{a}\text{l}}=$

$cm,{}_{\text{t}\text{o}\text{t}\text{a}\text{l}}=$