Repairing a broken rod tip

To all:

Any suggestions on repairing a broken tip? I have a 10.5 foot pole that I
use when float fishing for Crappies off my boat especially when they are
deep. There is probably 4 inches between the rod tip and the next eyelet.
It is not a super expensive pole, but it is one of the Tourney Specials
ultralight sold by Bass Pro. I think I paid $30 for it on sale. I still
have the piece that broke off. It broke about 1 1/2" from the end.

Here were my thoughts on repair:
1.) Cut off the rest of the rod tip back to the next eyelet.
2.) Buy a new rod tip? I thought I have seen some where you can buy a rod
tip to that you somehow attach it much like attaching two rod pieces
together.
3.) Buy a new pole. Probably not necessary because I don't really do any
casting with this pole. It is more for fishing right off the boat.

Thanks,
Jeff