Find range of values of theta for which both cables are taut

Find range of values of theta for which both cables are taut/ Civil Engineering

A tower is guyed by cables AB and AC. A worker ties a rope oflength 12 m to he tower at A and exerts a constant force of 160 Non the rope. (a) Express the tension in each cable as a function oftheta knowing that the resultant of the tension in the cables andthe rope is directed downward. (b) Plot the tension in each cableas a function of thete 0 < theta < 180 degrees, and determine from the graph the range of values of theta for which both cablesare taut.

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