Answer:
[tex]BC = 8 \sqrt{2} [/tex]
Step-by-step explanation:
[tex] \sin(45) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(45) = \frac{8}{BC} [/tex]
[tex](BC) \sin(45) = \frac{8}{x} (BC)[/tex]
[tex](BC) \sin(45) = 8[/tex]
[tex] \frac{(BC) \sin(45) }{ \sin(45) } = \frac{8}{ \sin(45) } [/tex]
[tex]BC = \frac{8}{ \sin(45) } [/tex]
[tex]BC = 8 \sqrt{2} [/tex]
