2026 NASS P1 Q22

In triangle \(MNR\), point \(M\) is \((-3,0)\) and angle \(NMR=p^\circ\).

\(Q\) is a point on the negative \(x\)-axis and \(\sin p^\circ=\dfrac5{13}\).

1. Express as a fraction
   1. \(\cos(180^\circ-p^\circ)\),[1]
   2. \(\tan p^\circ\).[1]
2. The area of triangle MNR is 50 square units.
   Find the coordinates of \(R\).[2]