Assumption 1: When your transponder is set to altitude, the air traffic controller sees a target and your altitude.
Assumption 2: When you are assigned a squawk, your target is paired with a call sign and other information.
If assumption 1 and 2 are correct, how does the air traffic controller know your altitude if you weren't assigned a squawk? Does the transponder transmit position too? I can understand how a radar wave will detect a piece of metal in the sky, and its position, but how does it know that the transmitter transmitting x altitude is in fact the same target as the airplane?
Assumption 2: When you are assigned a squawk, your target is paired with a call sign and other information.
If assumption 1 and 2 are correct, how does the air traffic controller know your altitude if you weren't assigned a squawk? Does the transponder transmit position too? I can understand how a radar wave will detect a piece of metal in the sky, and its position, but how does it know that the transmitter transmitting x altitude is in fact the same target as the airplane?