1. **State the problem:** We need to find the tangent of angle $W$ in a right triangle with sides opposite and adjacent to $W$ given as 12 and 37 respectively. 2. **Recall the formula:** The tangent of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. $$\tan(W) = \frac{\text{opposite}}{\text{adjacent}}$$ 3. **Substitute the given values:** $$\tan(W) = \frac{12}{37}$$ 4. **Simplify the fraction:** The fraction $\frac{12}{37}$ is already in simplest form because 12 and 37 have no common factors other than 1. 5. **Final answer:** $$\tan(W) = \frac{12}{37}$$ This is the simplified tangent of angle $W$ expressed as a proper fraction.