AB is about 53.74 so the answer is (A)
[tex] \sin(c) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(61) = \frac{47}{x} [/tex]
[tex] (x)\sin(61) = \frac{47}{x} (x)[/tex]
[tex](x) \sin(61) = 47[/tex]
[tex] \frac{(x) \sin(61) }{ \sin(61) } = \frac{47}{ \sin(61) } [/tex]
[tex]x = \frac{47}{ \sin(61) } [/tex]
[tex]x = 53.74[/tex]
