An adjusting apparatus for setting a rifle scope has a manually actuable adjusting element which is mounted such that it can be rotated about a rotational axis relative to a base. A latching device is arranged between the base and the adjusting element and has latching depressions which are distributed about the rotational axis over the circumference. A first latching element lies opposite one of the latching depressions and is dependent on the rotary position of the adjusting element relative to the base. A locking device has a manually actuable locking element which can be moved from a released position into a locked position, the locking element being coupled to the first latching element via an actuating drive. The first latching element is fixed in the latching depression which lies opposite in each case in the locked position by means of the actuating drive.