Tor and Tails don't protect you by making you look like any random Internet user, but by making all Tor and Tails users look the same. It becomes impossible to know who is who among them.
Your Internet service provider (ISP) and local network can see that you connect to the Tor network. They still cannot know what sites you visit.To hide that you connect to Tor, you can use a [[Tor bridge|doc/anonymous_internet/tor]].