(Solved): A baby elephant is stuck in a mud hole. To help pull it out, game keepers use a rope to apply a for ...

A baby elephant is stuck in a mud hole. To help pull it out, game keepers use a rope to apply a force $$F_A$$, as part $$a$$ of the drawing shows. By itself, however, force $$F_A$$ is insutficient. Therefore, two additional forces $$F_B$$ and $$F_C$$ 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 bof the drawing. is $$k$$ times larger than that in part $$a$$. Find the ratio $$F/F_A$$ when $$k=1.57$$.