amc-2014-sr-15

In the diagram, \(PS=5 %speech% ,P S equals 5,\), \(PQ=3 %speech% ,P Q equals 3,\), \(\triangle PQS %speech% ,triangle P Q S,\) is right-angled at \(Q\), \(\angle QSR=30^\circ %speech% ,angle Q S R is 30 degrees,\) and \(QR=RS %speech% ,Q R equals R S,\).

The length of \(RS\) is