It's not Government funded. There's a mandatory TV tax (for TV viewers), the fee of which is set by Government.
The roads your drive on are almost certainly subsidised from beyond the direct taxes you pay on your car and fuel too.
(Genuinely not clear to me, not trying to be snarky.)
FWIW when I last researched the issue (maybe 3 years ago) there was also funding from direct taxation used for BBC activities; it was in the published accounts at least.