Abstract: A rangefinder apparatus with an optoelectronic arrangement for determining a height profile of an object. The apparatus has a transmitter that emits light rays, a deflection unit that deflects the transmitted light rays and guides them over the surface of an object to be measured, and a receiver that receives light rays reflected from the object. The deflection unit includes a transmitting optic arranged downstream of the transmitter and an actuator which moves the transmitting optic to periodically deflect the transmitted light. A receiving optic is arranged in front of the receiver at a distance from the transmitting optic so that the beam axis of the transmitting light rays penetrates the transmitting optic and the beam axis of the received light rays that penetrate the receiving optic extend at a distance to each other.