Using the name Angela Dorian, Vetri was "Playboy"s Playmate of the Month for the September 1967 issue and subsequently was the 1968 Playmate of the Year. Her centerfold was photographed by Curt Gunther. Vetri won $20,000 and a new car (an all pink 1968 AMC AMX) when she was selected Playmate of the Year. A nude photo of her (along with fellow playmates Leslie Bianchini, Reagan Wilson, and Cynthia Myers) was inserted into Apollo 12 Extra-vehicular activity astronaut cuff checklists by pranksters at NASA.