Question

Find the length of AB

Answer 1

AB is about 53.74 so the answer is (A)

$\sin(c) = \frac{opposite}{hypotenuse}$

$\sin(61) = \frac{47}{x}$

$(x)\sin(61) = \frac{47}{x} (x)$

$(x) \sin(61) = 47$

$\frac{(x) \sin(61) }{ \sin(61) } = \frac{47}{ \sin(61) }$

$x = \frac{47}{ \sin(61) }$

$x = 53.74$