Use the worked example above to help you solve this problem. A traffic light weighing $1\mathrm{.}12102$ N 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 of $1=40\mathrm{.}0\backslash$deg and $2=50\mathrm{.}0\backslash$deg with the horizontal. Find the tension in each of the three cables.

T$1=$

N

T$2=$

N

T$3=$

N

EXERCISEHINTS: GETTING STARTED $|$ I$\text{'}$M STUCK!

Use the values from PRACTICE IT to help you work this exercise. Suppose the traffic light is hung so that the tensions T$1$ and T$2$ are both equal to $70$ N$.$ Find the new angles they make with respect to the x$-$axis. $($By symmetry, these angles will be the same.$)$

$\backslash$deg