Question: What is the mountain called that was named after William Barton Rogers and has a summit elevation of 5729 feet above mean sea level?

full_context: Document 1: Massachusetts Institute of Technology: The Massachusetts Institute of Technology (MIT) is a private research university in Cambridge, Massachusetts. It is often ranked as one of the world's most prestigious universities.
Document 2: George Mason University: George Mason University (Mason) is the largest public research university in the U.S. state of Virginia. The university was founded as a branch of the University of Virginia in 1949 and became an independent institution in 1972. Four campuses are located in Virginia, with another in Songdo, South Korea inside the Incheon Free Economic Zone. Three of the four campuses within Virginia are within the Northern Virginia section of the Piedmont, and one is in the Blue Ridge Mountains region. On-campus housing options exist at all campus locations except Arlington. The university recognizes 500 student groups as well as 41 fraternities and sororities. Today, the Carnegie Classification of Institutions of Higher Education R1 research institution is recognized for its programs in economics, law, creative writing, computer science, and business. Mason faculty have twice won the Nobel Memorial Prize in Economics.
Document 3: Roan Mountain (Roan Highlands): Roan Mountain is the highpoint of the Roan-Unaka Range of the Southern Appalachian Mountains, located in the Southeastern United States. The mountain is clad in a dense stand of Southern Appalachian spruce-fir forest, and includes the world's largest natural rhododendron garden, and the longest stretch of grassy bald in the Appalachian range. The Cherokee National Forest and Pisgah National Forest converge atop the mountain, with Roan Mountain State Park located near its northern base. The Appalachian Trail crosses most of the Roan's crest. The Roan High Knob Shelter is the highest backcountry shelter on the entire 2174 mi trail.
Document 4: University of Virginia: The University of Virginia (U.Va. or UVA), frequently referred to simply as Virginia, is a public research university and the flagship for the Commonwealth of Virginia. Founded in 1819 by Declaration of Independence author Thomas Jefferson, UVA is known for its historic foundations, student-run honor code, and secret societies.
Document 5: William Barton Rogers: William Barton Rogers (December 7, 1804 – May 30, 1882) was a geologist, physicist, and educator at the University of Virginia from 1835 to 1853. In 1861, Rogers founded the Massachusetts Institute of Technology (MIT). The university opened in 1865 after the American Civil War. Because of his affiliation with Virginia, Mount Rogers, the highest peak in the state, is named after him.
Document 6: Mount Rogers: Mount Rogers is the highest natural point in the Commonwealth of Virginia, United States, with a summit elevation of 5729 ft above mean sea level. The summit straddles the border of Grayson and Smyth Counties, Virginia, about 6.45 mi WSW of Troutdale, Virginia. Most of the mountain is contained within the Lewis Fork Wilderness, while the entire area is part of the Mount Rogers National Recreation Area, which itself is a part of the Jefferson National Forest.
Document 7: Mount Greylock: Mount Greylock is the highest natural point in Massachusetts at 3489 ft . Its peak is located in the northwest corner of the state in the western part of the town of Adams (near its border with Williamstown) in Berkshire County. Although geologically part of the Taconic Mountains, Mount Greylock is commonly associated with the abutting Berkshire Hills to the east. The mountain is known for its expansive views encompassing five states and the only taiga-boreal forest in the state. A seasonal automobile road (open annually from late May through November 1) climbs to the summit, where stands the iconic 93 ft lighthouse-like Massachusetts Veterans War Memorial Tower. A network of hiking trails traverse the mountain, including the 2179 mi Appalachian Trail. Mount Greylock State Reservation was created in 1898 as Massachusetts' first public land for the purpose of forest preservation.
Document 8: Phillip T. and Susan M. Ragon Institute: Phillip T. and Susan M. Ragon Institute is a medical institute founded in 2009 at the Massachusetts General Hospital by the funding from founder and CEO of InterSystems Phillip Ragon and his wife Susan Ragon to find vaccine for diseases of the immune system, particularly AIDS. The institute hopes to bring in scientists from Harvard University, the Massachusetts Institute of Technology (MIT) and the Massachusetts General Hospital (MGH), a level I trauma center which is the largest teaching hospital affiliated with the Harvard University Medical School.
Document 9: Whitetop Mountain: Whitetop Mountain is the second highest independent mountain in the U.S. state of Virginia, after nearby Mount Rogers. It is also the third highest named peak in Virginia, after Mount Rogers and its subsidiary peak, Pine Mountain. It is located at the juncture of Grayson, Smyth, and Washington Counties, and is also within the Mount Rogers National Recreation Area of the Jefferson National Forest. Whitetop was the location of the White Top Folk Festival from 1932 to 1939, with the exception of 1937. Like nearby Mount Rogers, it represents an ecological "island" of flora and fauna commonly found much further north than Virginia, such as old growth red spruce and other northern softwoods.
Document 10: Redrock Mountain Natural Area Preserve: Redrock Mountain Natural Area Preserve is a 640 acre Natural Area Preserve located in Smyth County, Virginia. The preserve is named for the 4413 ft Redrock Mountain, which itself is named for its red siltstone cliffs. It supports a number of rare natural features, and two natural community types, including examples of "mountain/piedmont basic woodlands" upon the mountain's slopes, and "rich cove/slope forests" in the preserve's lowlands. Five rare plant species are found on the property, including spring blue-eyed Mary ("Collinsia verna"), fringed scorpion-weed ("Phacelia fimbriata"), and Carey saxifrage ("Saxifraga careyana").
Document 11: Shenandoah National Park: Shenandoah National Park (often ) is a national park that encompasses part of the Blue Ridge Mountains in the U.S. state of Virginia. The park is long and narrow, with the broad Shenandoah River and Valley on the west side, and the rolling hills of the Virginia Piedmont on the east. Although the scenic Skyline Drive is likely the most prominent feature of the park, almost 40% of the land area 79579 acre has been designated as wilderness and is protected as part of the National Wilderness Preservation System. The highest peak is Hawksbill Mountain at 4051 ft .
Document 12: Mount Washington Observatory: The Mount Washington Observatory (MWObs) is a private, non-profit scientific and educational institution organized under the laws of the state of New Hampshire. The weather observation station is located on the summit of Mount Washington in New Hampshire. The Observatory's mission is to advance understanding of the natural systems that create the Earth's weather and climate, by maintaining its mountaintop weather station, conducting research and educational programs and interpreting the heritage of the Mount Washington region. The first regular meteorological observations on Mount Washington were conducted by the U.S. Signal Service, a precursor of the Weather Bureau, from 1870 to 1892. The Mount Washington station was the first of its kind in the world, setting an example followed in many other countries.
Document 13: Mount Rogers National Recreation Area: Mount Rogers National Recreation Area is a United States National Recreation Area (NRA) located in southwestern Virginia near the border with Tennessee and North Carolina. The centerpiece of the recreation area is the Lewis Fork Wilderness containing Mount Rogers, the highest point in the state of Virginia with a summit elevation of 5,729 feet (1746 m). The recreation area is under the jurisdiction of the George Washington and Jefferson National Forests. The recreation area was established by an act of the United States Congress on May 31, 1966.
Document 14: History of Georgia Tech: The history of the Georgia Institute of Technology can be traced back to Reconstruction-era plans to develop the industrial base of the Southern United States. Founded on October 13, 1885 in Atlanta, Georgia as the Georgia School of Technology, the university opened in 1888 after the construction of Tech Tower and a shop building and only offered one degree in mechanical engineering. By 1901, degrees in electrical, civil, textile, and chemical engineering were also offered. In 1948, the name was changed to the Georgia Institute of Technology to reflect its evolution from an engineering school to a full technical institute and research university.
Document 15: Whitetop, Virginia: Whitetop is an unincorporated community in Grayson County, Virginia, United States. It is the southern terminus of the Virginia Creeper Trail. Whitetop is named for nearby Whitetop Mountain, the second-tallest independent mountain in the State of Virginia, behind Mount Rogers. The town is about four miles northeast of the North Carolina–Tennessee–Virginia Corners.
ground_truth: Mount Rogers