Respuesta :

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]