[tex]\begin{gathered} To\text{ calculate x} \\ \sin \text{ (60)=}\frac{x}{10} \\ x=10\cdot\sin \text{ (60)} \\ x=10\cdot\frac{\sqrt[]{3}}{2}=8.66\approx8.7 \\ x=8.7 \\ The\text{ value of x is 8}.7 \\ \\ To\text{ calculate y} \\ \cos (60)=\frac{y}{10} \\ y=10\cdot\cos (60) \\ y\text{ = 10}\cdot\frac{1}{2} \\ y=5 \\ \text{The value of y is 5} \end{gathered}[/tex]