Mount Guyot is a mountain in the Great Smoky Mountains, located in the southeastern United States. At 6,621 feet in elevation, Guyot is the fourth-highest summit in the Eastern U.S., and the second-highest in the Great Smoky Mountains National Park. While the mountain is remote, the Appalachian Trail crosses its south slope, passing to within 1,000 feeā¦Mount Guyot is a mountain in the Great Smoky Mountains, located in the southeastern United States. At 6,621 feet in elevation, Guyot is the fourth-highest summit in the Eastern U.S., and the second-highest in the Great Smoky Mountains National Park. While the mountain is remote, the Appalachian Trail crosses its south slope, passing to within 1,000 feet of the summit.