One rope applies a force of 482 newtons (N) in a direction due west; the other applies a force of 268 N in a direction due south.

Two ropes are attached to a heavy box to pull it along the floor. One rope applies a force of 482 newtons (N) in a direction due west; the other applies a force of 268 N in a direction due south. As we will see later in the text, force is a vector quantity. (a)How much force should be applied by a single rope, and (b) in what direction (as a positive angle relative to due west), if it is to accomplish the same effect as the two forces added together?