we must use trigonometric ratios to solve the right triangle
i will use the cosine
[tex]\begin{gathered} \cos (\alpha)=\frac{A}{H} \\ \end{gathered}[/tex]where alpha is the angle, a the adjacent side and H the hipotenuse,
so replacing
[tex]\cos (73)=\frac{6}{x}[/tex]now solve for x
[tex]\begin{gathered} x=\frac{6}{\cos (73)} \\ \\ x=20.52 \end{gathered}[/tex]so the right option is I