A radar sensor in a motor vehicle has at least one antenna arrangement for emitting and receiving radar signals and a processing device for evaluating received radar signals. The antenna arrangement is controlled to simultaneously emit and receive radar signals both in a far frequency range and in a near frequency range, where the bandwidth of the near frequency range is greater than that of the far frequency range. The received radar signals of the near frequency range are evaluated as radar data of a higher distance resolution and received radar signals of the far frequency range are evaluated as radar data of a lower distance resolution.