How to Calculate Tension on a Horizontal Clothesline | Calc 2 Physics Problem

[somebodyelse5]

A horizontal clothesline is tied between 2 poles, 20 meters apart.
When a mass of 3 kilograms is tied to the middle of the clothesline, it sags a distance of 2 meters.

What is the magnitude of the tension on the ends of the clothesline in N?


Ok, I am totally lost on this problem, I've tried drawing the free body diagrams and really hasnt helped.

 

[gabbagabbahey]

Hint: If the mass stays sagging at two meters, what must the net force in it be? What individual forces are acting on the mass?

 

[somebodyelse5]

I figured it out! T(y)=.5(mg)=.5(29.43)

And then I can use the distance to solve for the angle and then use trig with that angle to find T!