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.

Learn how to find the sine of angle Q in a right triangle using the sine function. Step-by-step solution provided with detailed calculations and explanations. Suitable for high school students studying trigonometry.

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