A $90\mathrm{.}0$ kg bear climbs out on a clothesline to get to the bird feeder $($you can safely ignore the mass of the bird feeder$).$ The angle on the right is $15$ degree and the angle on the left is $35$ degree;

$($a$)$ Draw a force diagram of the clothelines. You can assume the bear is pulling down equally with its paws and mouth, but the tension on the left and right sides are different; 

$($b$)$ Create a force component table;

$($c$)$ Calculate the magnitudes of the tension in the left side and the right side of the clothesline .