A cat was rescued and a dog was found dead in the fire that broke out around 11:50 a.m. at 11 Shafer Pl., the Hackensack Fire Department said. City firefighters helped the elderly resident out of her home as the Ridgewood firefighter aided her across the street, Capt. Justin Derevyanik said. The Hackensack Fire Department had the fire out by 12:05 p.m., the captain said. The woman was taken to Hackensack University Medical Center for smoke inhalation.