To find the sine of angle $Q$ in the given right triangle, we use the sine function definition:

$\sin(\text{angle}) = \frac{\text{opposite side}}{\text{hypotenuse}}$

Step-by-Step Solution:

1. Identify the sides related to angle $Q$:

   • Opposite side to angle $Q$: $a = 5$
   • Hypotenuse: $c = 13$

2. Apply the sine formula: $\sin(Q) = \frac{5}{13}$

Final Answer:

The sine of angle $Q$ is $\sin(Q) = \frac{5}{13}$.

Would you like more details on how this works, or do you have any other questions? Here are some related questions you might consider:

1. How would you find the cosine and tangent of angle $Q$?
2. What is the relationship between the sine of an angle and its complementary angle in a right triangle?
3. How can the sine function be used to find the area of a triangle?
4. How do the sine, cosine, and tangent functions relate to each other in trigonometry?
5. How would the sine value change if the sides of the triangle were doubled?

Tip: The sine of an angle in a right triangle is always a ratio of two sides, so it’s useful to remember these definitions for quick calculations.