A baby elephant is stuck in a mud hole. To help pull it out, game keepers use a rope to apply a force A, as part a of the drawing shows. By itself, however, force A is insufficient. Therefore, two additional forces B and C are applied, as in part b of the drawing. Each of these additional forces has the same magnitude F. The magnitude of the resultant force acting on the elephant in part b of the drawing is k times larger than that in part a. Find the ratio F.