Question on elementary statics multiple choice

[RoboNerd]

Homework Statement

Homework Equations

sum of torques = 0

The Attempt at a Solution

So I tried to put the torques into the equation:

Sum torques = mgL - T *sin(theta) * (L-x) = 0.

Solving for the T gave me [mgL]/[ (L-x) * sin(theta) ]. This is not an option in the answers.
Could anyone please help me out in understanding where I possibly derailed, and why the authors think the answer is 4. Thanks in advance!

 

[SteamKing]

What if answer 4) has a typo, and it should read: $\frac{mgL}{(L-x)sin\, \theta}$ ?

 

[RoboNerd]

If yes, then that is the answer. The test questions are written by some crummy authors [thanks a lot whoever you are!]

 

[RoboNerd]

Thanks for the help!