Answer:
The choice D)
[tex]2 \sqrt{2} [/tex]
Step-by-step explanation:
Sin = Opposite/ hypotenuse
[tex] \sin(45) = \frac{x}{4} \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{4} \\ \\ \sqrt{2} x = 4 \\ \\ x = \frac{4}{ \sqrt{2} } \\ \\ x = \frac{4}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ \\ x = \frac{4 \sqrt{2} }{2} = 2 \sqrt{2} \\ \\ \\ x = 2\sqrt{2} [/tex]
I hope I helped you^_^
