Respuesta :

The answer is in the attachment below:
Ver imagen juliet2209

Answer:

x = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = 6[tex]\sqrt{2}[/tex]