A $3\mathrm{.}00-$mm$-$long, $170$ NN$,$ uniform rod at the zoo is held in a horizontal position by two ropes at its ends in $($Figure $1).$ The left rope makes an angle of $150$ with the rod and the right rope makes an angle with the horizontal. A $90$ NN howler monkey $($Alouatta seniculus$)$ hangs motionless $0\mathrm{.}50$ mm from the right end of the rod as he carefully studies you.

Figure

$1$ of $1$