Four forces act on an object, given by

A $=47\mathrm{.}3$ N east,

B $=32\mathrm{.}3$ N north,

C $=74\mathrm{.}7$ N west,

and

D $=86\mathrm{.}7$ N south.

$($Assume east and north are directed along the $+$x$-$axis and $+$y$-$axis, respectively.$)$

HINT

$($a$)$

What is the magnitude of the net force $($in N$)$ on the object?

N

$($b$)$

What is the direction of the force? $($Enter your answer in degrees counterclockwise from the $+$x$-$axis.$)$

$$ counterclockwise from the $+$x$-$axis