Answer:
[tex]x = \frac{\sqrt{6}}{3}[/tex]
Step-by-step explanation:
Step 1: Using tan to get the value of the side x
[tex]tan(30) = \frac{x}{\sqrt{2}}[/tex]
[tex]\sqrt{2}*tan(30) = x[/tex]
[tex]\frac{\sqrt{6}}{3}=x[/tex]
Answer: [tex]x = \frac{\sqrt{6}}{3}[/tex]