Solve the Problem $\mathrm { F } _ { 1 }$

Short Answer

Solve the problem.
-Two forces, $\mathrm { F } _ { 1 }$ of magnitude 60 newtons $( \mathrm { N } )$ and $\mathrm { F } _ { 2 }$ of magnitude 70 newtons, act on an object at angles of $40 ^ { \circ }$ and $130 ^ { \circ }$ (respectively) with the positive $x$ -axis. Find the direction and magnitude of the resultant force; that is, find $\mathbf { F } _ { \mathbf { 1 } } + \mathbf { F } _ { \mathbf { 2 } }$ . Round the direction and magnitude to two decimal places.