Use the worked example above to help you solve this problem. A traffic light weighing1.1810²N hangs from a vertical cable tied to two other cables that are fastened to a support, as shown in Figure (a). The upper cables make angles of₁=36.5and₂=53.5with the horizontal. Find the tension in each of the three cables.

Use the values from PRACTICE IT to help you work this exercise. Suppose the traffic light is hung so that the tensions T₁ and T₂ are both equal to 76 N. Find the new angles they make with respect to the x-axis. (By symmetry, these angles will be the same.)