Final answer:
In 'Harry Potter and the Prisoner of Azkaban', Sirius Black is rescued from the West Tower at Hogwarts where he awaits the Dementor's Kiss, and escapes with the help of Harry and Hermione on Buckbeak the hippogriff.
Step-by-step explanation:
When Sirius Black is rescued by Harry Potter and Hermione Granger in Harry Potter and the Prisoner of Azkaban, he is in the topmost tower at Hogwarts, known as the West Tower, where the room that holds the Flight of the Hippogriff is located. Sirius is locked in the room and awaiting the Dementor's Kiss, which Hermione and Harry prevent by using a time-turner to go back in time and save him. They rescue Sirius right after Buckbeak, the hippogriff, is saved, and they help Sirius escape on Buckbeak's back, fleeing into the night.