In right triangle RST, we have the following sides:
- ST = 5 (opposite to angle R)
- RT = 12 (adjacent to angle R)
- RS = 13 (hypotenuse)
To find \(\sin(R)\), we use the definition of sine in the context of a right triangle, which is:
\[ \sin(R) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{ST}{RS} = \frac{5}{13} \]
So, the answer is \(\frac{5}{13}\).