1. The problem asks to identify the correct expression for $\tan(b)$ in a right triangle. 2. Recall the definition of tangent in a right triangle: $$\tan(\theta) = \frac{\text{opposite side}}{\text{adjacent side}}$$ 3. From the problem, angle $b$ has opposite side labeled $L$ and adjacent side labeled $K$. 4. Therefore, $$\tan(b) = \frac{L}{K}$$ 5. Checking the options, option B states $$\tan(b) = \frac{L}{K}$$ which matches our result. 6. Hence, the correct statement is option B.