1. **State the problem:** We need to find the angle $\theta$ in a right triangle where the legs adjacent to $\theta$ are both 3 units long. 2. **Identify the sides relative to $\theta$:** The side opposite $\theta$ is CA = 3, and the side adjacent to $\theta$ is BC = 3. 3. **Choose the trigonometric ratio:** Since we know the opposite and adjacent sides, we use the tangent ratio: $$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{3}{3}$$ 4. **Simplify the ratio:** $$\tan(\theta) = \frac{\cancel{3}}{\cancel{3}} = 1$$ 5. **Find $\theta$ using the inverse tangent function:** $$\theta = \tan^{-1}(1)$$ 6. **Calculate the angle:** $$\theta = 45^\circ$$ 7. **Round the answer:** The angle $\theta$ is already a whole number, so $\theta = 45^\circ$. **Final answer:** $\theta = 45^\circ$ **Trig Ratio Used:** Tangent (tan)