Answer
The length of conveyer is $18.805$ m.
Work Step by Step
The given situation can be visualized as shown in Fig. We assume that the shredder is located at $C$. The segment $AC$ represents the conveyor. Given that the length of the segment $BC$ is $|BC| = 11$ m. Now, the task is to find $|AC|$. From the sine formula, we have that
\[\sin(35.8) = \frac{|BC|}{|AC|}\]
\[\implies |AC| = \frac{|BC|}{\sin(35.8)}\]
\[\implies |AC| = \frac{11}{0.585}\]
\[\implies |AC| = 18.805\]
