1. **State the problem:** We have a right triangle with a hypotenuse of length 7, one angle measuring 35°, and we want to find the length of the side opposite to the 35° angle, denoted as $x$. 2. **Identify the trigonometric function:** The side opposite the angle is $x$, and the hypotenuse is 7. We use the sine function since $\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$. 3. **Set up the equation:** $$\sin(35^\circ) = \frac{x}{7}$$ 4. **Solve for $x$:** Multiply both sides by 7: $$x = 7 \times \sin(35^\circ)$$ 5. **Calculate the value:** Using a calculator, $$\sin(35^\circ) \approx 0.574$$ So, $$x \approx 7 \times 0.574 = 4.018$$ 6. **Conclusion:** The length of the side opposite the 35° angle is approximately **4.02**.