So BatBoy's link won't work. The full address option in it will though, (don't use the Postcode option), and will show FTTP. That is delivered in a completely different way at your end to FTTC which is why it got messy.
With a bit of patience you would probably have got it, but without seeing the detail of what BT told you it's impossible to know.
You may be able to upgrade to it when your Sky contract gets to the end of the minimum term.
My broadband basic info/help site - www.robertos.me.uk.
Domains,site and mail hosting - Tsohost
Connection - Plusnet
UnLim Fibre (FTTC). Sync ~ 52.8 (interleaved)/15.0Mbps @ 600m. - IPv4BQM