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A boat is maintained at rest on a river using three ropes: A, B and C. Each rope is connected to the boat and to the shore. The river is in motion and also exerts a force on the boat F⃗ = ⟨92.4038, 0, 0⟩. The figure below is a top view of this situation. The magnitudes of the tension in ropes A and B are |T⃗ | = 150 N, and |T⃗ | = 75 N. These forces make angles α = 60o and β = 30o with the AB vertical, as indicated in the figure below.