Using the name Angela Dorian, Vetri was chosen as 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 Carl Gunther. Vetri won US$20,000 in prizes when she was selected Playmate of the Year. Among these were a new car (an all pink 1968 AMC AMX), gold watch, skis and a ski outfit, a complete wardrobe, a movie camera, a typewriter, a tape recorder, a stereo, and a guitar. 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.