Problem 5-57 Translational Equil.

A sign outside a hair stylist's shop is suspended by two wires. The force of gravity on the sign has a magnitude of \(55.7\; N\). If the angles between the wires and the horizontal are as shown in figure, determine the magnitude of the tensions in the two wires.
[Ans. \(T_1 = 49.9 \;N;\) \(T_2 = 40.8\; N\)]

Diagram of sign suspended by two wires.

Four diagrams of possible scenarios

The first requirement is to draw a free-body diagram of the problem. Which of the above is correct?