A baby elephant is stuck in a mud hole. To help pull it out, game keepers use a rope to apply a force F with arrowA, as part a of the drawing shows. By itself, however, force F with arrowA is insufficient. Therefore, two additional forces F with arrowB and F with arrowC 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
FA
when k = 1.80. (Take 𝜃 = 15.0°.)
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