By explicitly solving the Schrödinger equation for a particle encountering a linear potential hill (V = 0,x < 0;V = V0x/a, 0 < x < a;V = V0,x ≳ a), we obtain corrections to the quantum (a → 0) and classical (a → ∞) limits for the transmission coefficient, demonstrating the influence of the rangeaover which the potential rises.