Before adding the vectors, we will write them in ordered pair notation.
The first vector is represented by the ordered pair:
[tex](350,0).[/tex]The second vector is represented by the ordered pair:
[tex](130cos60^{\circ},130sin60^{\circ}),[/tex]simplifying we get:
[tex](65,65\sqrt{3}).[/tex]Adding the vectors, we get:
[tex](350,0)+(65,65\sqrt{3})=(415,65\sqrt{3}).[/tex]Therefore, the magnitude of the resultant vector is:
[tex]\sqrt{415^2+(65\sqrt{3})^2}.[/tex]Simplifying the above result, we get:
[tex]\sqrt{415^2+(65\sqrt{3})^2}=430.[/tex]