Find the value of each trigonometric ratio. 5) $\sin Z$ A) $\frac{12}{5}$ B) $\frac{5}{13}$ C) $\frac{13}{12}$ D) $\frac{5}{12}$

Step 1 ：\(\sin^2 Z + \cos^2 Z = 1\)

Step 2 ：\(\sin^2 Z = 1 - \cos^2 Z\)

Step 3 ：\(\sin^2 Z = 1 - \left(\frac{5}{13}\right)^2\)

Step 4 ：\(\sin^2 Z = 1 - \frac{25}{169}\)

Step 5 ：\(\sin^2 Z = \frac{144}{169}\)

Step 6 ：\(\sin Z = \pm\frac{12}{13}\)

Step 7 ：\boxed{\frac{12}{13}}