A barge is pulled by two tugboats. The barge is aligned horizontally while the rope of tugboat 1 is inclined with the horizontal -degrees upward, and rope of tugboat 2 is inclined with the horizontal 'a'-degrees downward. If the resultant of the forces exerted by the tugboats is a 5,663-lb force directed along the axis of the barge and A-59 degrees, determine the value of a in degrees for which the tension in rope 2 is minimum. Answer in 2-decimal places only if applicable, and don't include units.

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