The Law of Sines states that
[tex] \frac{ac}{ \sin(b) } = \frac{ab}{ \sin(c) } [/tex]
Therefore,
[tex] \frac{15}{ \sin(44) } = \frac{ab}{ \sin(53) } [/tex]
Multiply both sides by sin(53):
[tex] ab = \frac{ \sin(53) \times 15 }{ \sin(44) } [/tex]
AB = 17.25
The answer is D) 17