Multiple Concept Example $9$ provides background pertinent to this problem. The magnitudes of the four displacement vectors shown in the drawing are $A=15\mathrm{.}0m,B=10\mathrm{.}0m,C=12\mathrm{.}0m,$ and $D=30\mathrm{.}0m.$ Determine the $($a$)$ magnitude and $($b$)$ direction for the resultant that occurs when these vectors are added together. Specify the direction as a positive $($counterclockwise$)$ angle from the $+x$ axis.

$($a$)$ Number

Units

$($b$)$ Number

Units