The report presents the results of a numerical simulation of the optical properties of cirrus clouds containing quasi-horizontally oriented crystals, as observed by a scanning lidar. Two models of the spatial orientation of plate-like crystals in a cirrus cloud are considered. In the first model, the orientation of the crystals was determined by the normal law, while in the second case, it was determined by the exponential law. The numerical results were used to interpret the experimental observation data. It is demonstrated that the use of the exponential law leads to a better agreement between theoretical and experimental data, particularly at small scanning angles.