In order to find the missing side VW we need to use the trigonometric functions for the angle that is given, in this case 59°.
The trigonometric function that involves the hypotenuse and the opposite side is sin, then,
![\sin \theta=(op)/(hyp)](https://img.qammunity.org/2023/formulas/mathematics/college/3grivam5xcecqdfemnmlpey0qddgde1nwr.png)
solve the equation for the opposite side
![\begin{gathered} \sin \theta\cdot hyp=op \\ \sin 59\cdot9.3=vw \\ 7.97=vw \\ vw\approx8.0 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/mqnbllkhgour6g7q21fswhuxrmeb8otgb5.png)