Vector A

$,$ vector B

$,$ and vector C

  are drawn to scale . The vector A

is $5\mathrm{.}3$ meters long and points $56$

counterclockwise from the positive x

$-$axis. The vector B

is $4\mathrm{.}0$ meters long and points along the negative x

$-$axis. The vector C

is $2\mathrm{.}8$ meters long and points $53$

clockwise from the negative x

$-$axis.

What are R

and $\backslash$theta R

$,$ the magnitude and direction angle for the resultant vector R$=$A$+$B$+$C

$?$

A horizontal x axis and a vertical y axis are shown. All vectors start at the origin. The orange vector A makes an angle theta sub A with the positive x axis. The red vector B is along the negative x axis. The blue vector C makes an angle theta sub C with the negative x axis.

Express your answer numerically in meters and degrees respectively as the ordered pair $($ R$,\backslash$theta R

$)$ using three significant figures. Measure the angle $\backslash$theta R

counterclockwise from the positive x

$-$axis.