Final answer:
Odysseus's plan for escaping the Cyclops' cave involved hiding under the bellies of sheep to avoid detection and exit the cave safely.
Step-by-step explanation:
Odysseus, the clever Greek hero from Homer's epic poem The Odyssey, devised a plan to escape the cave of the Cyclops, Polyphemus. To escape unnoticed, he and his men hid under the bellies of the giant sheep that Polyphemus would let out of the cave to graze. They lashed themselves to the sheep with leather ropes as the Cyclops, who had been blinded by Odysseus, could only feel the backs of the sheep as they exited the cave, not detecting the men beneath. Thus, when the sheep left the cave to pasture, Odysseus and his men were carried out to safety, evading the Cyclops' grasp.