A pilot flies her route in two straight$-$line segments. The displacement vector A for the first segment has a magnitude of $258km$ and a direction $30\mathrm{.}0$ north of east. The displacement vector B for the second segment has a magnitude of $180km$ and a direction due west. The resultant displacement vector is $R=A+B$ and makes an angle $$ with the direction due east. Using the component method, find $($a$)$ the magnitude of $R$ and $(b)$ the directional angle $.$

$($a$)R=$ Number Units

$($b$)=$ Number Units