1. **Problem Statement:** We need to find the length of side BC in a right triangle where angle A is 35°, side AC (adjacent to angle A) is 2 units, and the right angle is at vertex C. 2. **Identify the sides relative to angle A:** - AC is adjacent to angle A. - BC is opposite to angle A. - AB is the hypotenuse. 3. **Formula to use:** Since we know the adjacent side and want the opposite side, we use the tangent function: $$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$ 4. **Apply the formula:** $$\tan(35^\circ) = \frac{BC}{2}$$ 5. **Solve for BC:** $$BC = 2 \times \tan(35^\circ)$$ 6. **Calculate the value:** Using a calculator, $$\tan(35^\circ) \approx 0.7002$$ So, $$BC = 2 \times 0.7002 = 1.4004$$ 7. **Round the answer:** Rounded to the nearest hundredth, $$BC \approx 1.40$$ **Final answer:** The length of side BC is approximately 1.40 units.