The profile of a steady meniscus at a flat wall vertically withdrawn from a liquid is considered. The extrapolated dynamic contact angle, theta(ext), serving as a boundary condition of Laplace equation for the quasi-static part of the fluid interface is introduced and its dependence on contact line velocity, viscosity, surface tension, density of the liquid, and static wettability of the solid is obtained and numerically analyzed. The thickness of the hydrodynamic deformation of the meniscus, h(qs), is also related to these properties and a nonmonotonous dependence of this thickness on contact line velocity is found. Two different dynamic behaviors of the contact line, constant and velocity-dependent actual dynamic contact angle, are considered, and a strong difference between the corresponding dependences of theta(ext) and h(qs) on contact line velocity is established. If the other properties of the system remain the same, the velocity dependence of the actual dynamic angle makes the extrapolated dynamic angle decrease from the static value to 0 degrees much faster and strongly reduces the hydrodynamic deformation of the moving meniscus.