In $($Figure $1),$ set F$2$

$=700$ N

$.$

Figure$1$ of $1$

Two forces act on a hook attached to the lower side of a horizontal support. The x axis points horizontally to the right. The y axis points vertically upward. The bottom of the hook is located at the origin. Force F subscript $1$ equals $500$ newtons and acts downward and to the right making an angle of $60$ degrees with the negative y axis. Force F subscript $2$ acts downward and to the left. The angle it makes with the negative y axis is an angle of a right triangle with a hypotenuse of $5,$ a leg adjacent to this angle of $3,$ and an opposite leg of $4.$

Part A

Determine the magnitude of the resultant force acting on the hook.

Express your answer to three significant figures and include the appropriate units.

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FR

$=$

determine the direction of the resultant force measured clockwise from the positive x axis.Express your answer in degrees to three significant figures