What is the value of x?

Answer:
x = 3
Step-by-step explanation:
[tex] \sin \: 45 \degree = \frac{BC}{6 \sqrt{2} } \\ \\ \frac{1}{ \sqrt{2} } = \frac{BC}{6 \sqrt{2} } \\ \\ BC = 6 \\ \\ \cos \: 60 \degree = \frac{x}{BC } \\ \\ \frac{1}{2} = \frac{x}{6 } \\ \\ x = \frac{6}{2} \\ \\ x = 3[/tex]