The ambiguous case of the sine rule

Consider the proposed non-right-angled triangle \(VWX\)

Side \(v\) is opposite angle \(V\) and has length 160 cm. Side \(x\) is opposite angle \(X\) and has length 187 cm. Side \(w\), opposite angle \(W\), is not given

The angle at vertex \(V\) is \(V=58^{\circ}\). At \(V\), sides \(w\) and \(x\) meet, so \(V\) is not the angle between the two given sides \(v\) and \(x\). Angles \(W\) and \(X\) are unknown

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