1. **Problem statement:** We have a right triangle RQS with a right angle at S. The hypotenuse RQ is 4 units long, and the angle at Q is 49°. 2. **Goal:** Find the length of side RS. 3. **Formula and rules:** In a right triangle, the side opposite an angle can be found using the sine function: $$\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$$ 4. **Identify sides:** Here, angle $Q = 49^\circ$, the hypotenuse is $RQ = 4$, and the side opposite angle Q is $RS$. 5. **Apply the formula:** $$\sin(49^\circ) = \frac{RS}{4}$$ 6. **Solve for $RS$:** $$RS = 4 \times \sin(49^\circ)$$ 7. **Calculate:** Using a calculator, $$\sin(49^\circ) \approx 0.7547$$ So, $$RS \approx 4 \times 0.7547 = 3.0188$$ 8. **Final answer:** Rounded to the nearest integer or decimal, $$RS \approx 3.02$$