A right triangle with an extended base

Triangle \(PQR\) is right-angled at \(R\), with \(PR=12\) cm and \(RQ=16\) cm. The line \(QR\) is produced through \(R\) to \(S\), where \(RS=6\) cm. Find

1. \(PS\),
2. \(\angle PQS\). Give non-exact lengths, areas and other numerical values to 3 significant figures, and angles to 1 decimal place, unless otherwise stated.