Answer
$T =\frac{W}{2~sin~\theta}$
Work Step by Step
We can consider the left part of the rope and the right part of the rope. The sum of the vertical component of the tension $T$ in each part of the rope is equal in magnitude to the crow's weight. We can find $T$:
$T~sin~\theta + T~sin~\theta = W$
$2~T~sin~\theta = W$
$T =\frac{W}{2~sin~\theta}$
