Ha . . . kite tails are so commonly overlooked that i had a hard time finding an image which showed the complete kite tail.
A kite can have one or more tails. This one has several. Those are the strings which you see hanging down below this kite, which is in the form of a butterfly. The tail is important because it creates enough drag to make the kite more stable in the air. However, the purpose of the tail is not immediately obvious from looking at it, so in symbolic language, a kite tail means something useless, something unimportant that just follows along in the wake of important people or events.