She appeared in many Balanchine ballets including "The Four Temperaments" (1946); "Serenade", "Apollo", "Symphony in C" (1946); "Swan Lake" (pas de quatre) (1951); "Concerto Barocco", "The Nutcracker" (1954); "Ivesiana" (1954); "Agon" (1957); and "The Figure in the Carpet" (1961). Sobotka also danced in James Waring's company and for major American choreographers and designed costumes for works by Paul Taylor, Erick Hawkins, and John Taras. She danced on Broadway in the musicals "Sadie Thompson" (1944) and the Balanchine revival of "On Your Toes" (1954).