Device for determining the overall height of a vehicle with a transport element mounted on the vehicle, and vehicle having a device for determining the overall height of a vehicle

A device for determining an overall height of a vehicle with a transport element arranged on the vehicle, the device comprising:

• a sensing device to sense the transport element;
• and
• an evaluator that is connected in terms of signaling to the sensing device, the evaluator being designed such that the overall height of the vehicle with the mounted transport element is ascertained from signals of the sensing device,
• wherein the sensing device has at least one UWB sensor arranged unambiguously in a vehicle coordinate system and a UWB tag that is adapted to be coupled to the UWB sensor,
• wherein the UWB sensor is arranged on the vehicle and the UWB tag is arranged on the transport element, and
• wherein the evaluator is designed such that a position of the UWB tag in the vehicle coordinate system is ascertained via the coupling of the UWB tag to the UWB sensor and, based thereon, the overall height of the vehicle is ascertained.