1) Let's use a trigonometric ratio to find the value of x. In this case,
[tex]\begin{gathered} \sin (22)=\frac{opposite}{\text{hypotenuse}} \\ \sin (22)\text{ =}\frac{x}{15} \\ 0.3746=\frac{x}{15} \\ \text{Multiply both sides by 15} \\ x=5.619 \end{gathered}[/tex]2) Now let's check the options and round the solution, we've just found.
5.619≅ 5.6
3) So the answer is C