Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
[tex] \sin(45) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(45) = \frac{3 \sqrt{2} }{x} [/tex]
[tex](x) \sin(45) = \frac{3 \sqrt{2} }{x} (x)[/tex]
[tex](x) \sin(45) = 3 \sqrt{2} [/tex]
[tex] \frac{(x) \sin(45) }{ \sin(45) } = \frac{3 \sqrt{2} }{ \sin(45) } [/tex]
[tex]x = \frac{3 \sqrt{2} }{ \sin(45) } [/tex]
[tex]x = 6[/tex]
