A method of attaching a rifle scope, having a windage knob, to a rifle having a rifle bore and that utilizes a scope mount having a top rail adapted to receive a scope at a predetermined orientation. The scope mount is attached to the rifle in a first manner, permitting adjustment of azimuth angle of the top rail relative to the rifle bore. Then a scope is attached to the scope mount and the error of the scope azimuth angle with respect to initial bullet direction is estimated. The azimuth angle of top rail relative to the rifle is adjusted by the azimuth angle error and the mounting of the scope to the rifle is finalized, thereby creating a rigid attachment.