We are given that \(30^\circ\) is equal to \(5\) students.
We need to find the total number of students who took part in the survey. All we need to do is find the ratio of the \(30^\circ\) portion to the whole circle, then multiply it by \(5\).
\(30 : 5 = 360 : x\)
\(30x = 1800\)
\(x = 60\).
Therefore, there are \(\boxed{60}\) students participating in the survey.