In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture (the given angle is 143°). The tire remains stationary in spite of the three pulls. Alex pulls with force of magnitude 212 N, and Charles pulls with force of magnitude 180 N. Note that the direction of is not given. What is the magnitude of Betty's force if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium?
(a) Number: Unit:
(b) Number: Unit:
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