The ambiguous case of the sine rule

A proposed non-right-angled triangle uses vertices \(R\), \(S\) and \(T\)

Side \(r\) is opposite angle \(R\) and has length 32 m. Side \(t\) is opposite angle \(T\) and has length 86 m. Side \(s\), opposite angle \(S\), is not given

The angle at vertex \(R\) is \(R=20^{\circ}\). At \(R\), sides \(s\) and \(t\) meet, so \(R\) is not the angle between the two given sides \(r\) and \(t\). Angles \(S\) and \(T\) are unknown

This information fits two possible triangles, one with an acute angle \(T\) and one with an obtuse angle \(T\)