Question: Virginia State Route 160 runs atop the highest mountain peak in Kentucky, which has what elevation level?

full_context: Document 1: Blue Ridge Parkway: The Blue Ridge Parkway is a National Parkway and All-American Road in the United States, noted for its scenic beauty. The parkway, which is America's longest linear park, runs for 469 mi through 29 Virginia and North Carolina counties, linking Shenandoah National Park to Great Smoky Mountains National Park. It runs mostly along the spine of the Blue Ridge, a major mountain chain that is part of the Appalachian Mountains. Its southern terminus is at U.S. 441 on the boundary between Great Smoky Mountains National Park and the Cherokee Indian Reservation in North Carolina, from which it travels north to Shenandoah National Park in Virginia. The roadway continues through Shenandoah as Skyline Drive, a similar scenic road which is managed by a different National Park Service unit.
Document 2: U.S. Route 460: U.S. Route 460 is a spur of U.S. Route 60. It currently runs for 655 miles (1,054 km) from Norfolk, Virginia, at U.S. Route 60 at Ocean View to Frankfort, Kentucky, at U.S. Route 60. It passes through the states of Virginia, West Virginia, and to Frankfort, Kentucky, the state capital. It goes through the cities of Norfolk, Portsmouth, Suffolk, Petersburg, Farmville, Lynchburg, Roanoke, Blacksburg, Tazewell, and Grundy, in Virginia; Princeton and Bluefield in West Virginia; and Pikeville, and Frankfort, Kentucky.
Document 3: Black Hills: The Black Hills (Lakota: "Ȟe Sápa" , Cheyenne: "Moʼȯhta-voʼhonáaeva" , Hidatsa: "awaxaawi shiibisha" ) are a small, isolated mountain range rising from the Great Plains of North America in western South Dakota and extending into Wyoming, United States. Black Elk Peak (formerly known as Harney Peak), which rises to 7244 ft , is the range's highest summit. The Black Hills encompass the Black Hills National Forest. The name "Black Hills" is a translation of the Lakota "Pahá Sápa ". The hills were so-called because of their dark appearance from a distance, as they were covered in trees.
Document 4: Virginia State Route 160: State Route 160 (SR 160) is a primary state highway in the U.S. state of Virginia. Known as the Trail of the Lonesome Pine, the state highway runs 8.02 mi from the Kentucky state line on top of Black Mountain, where the highway continues north as Kentucky Route 160 (KY 160), east to SR 68 in Appalachia.
Document 5: U.S. Route 250 in Virginia: U.S. Route 250 (US 250) is a part of the U.S. Highway System that runs from Sandusky, Ohio to Richmond, Virginia. In Virginia, the U.S. Highway runs 166.74 mi from the West Virginia state line near Hightown east to its eastern terminus at US 360 in Richmond. US 250 is the main east–west highway of Highland County, which is known as Virginia's Little Switzerland; the highway follows the path of the 19th century Staunton and Parkersburg Turnpike. From Staunton east to Richmond, the U.S. Highway serves as the local complement to Interstate 64 (I-64), roughly following the 18th century Three Notch'd Road through Waynesboro and Charlottesville on its way through the Shenandoah Valley, its crossing of the Blue Ridge Mountains at Rockfish Gap, and the Piedmont. In the Richmond metropolitan area, US 250 is known as Broad Street, a major thoroughfare through the city's West End and downtown areas.
Document 6: Mount Charleston: Mount Charleston, officially named Charleston Peak, at 11916 ft , is the highest mountain in both the Spring Mountains and Clark County, in Nevada, United States. It is the eighth-highest mountain in the state. Well separated from higher peaks by large, low basins, it is the most topographically prominent peak in Nevada, and the eighth-most-prominent peak in the contiguous United States. It is located about 35 mi northwest of Las Vegas within the Mount Charleston Wilderness, which is within the Spring Mountains National Recreation Area of the Humboldt-Toiyabe National Forest.
Document 7: 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 8: Virginia State Route 13: State Route 13 (SR 13) is a primary state highway in the U.S. state of Virginia. Known as Old Buckingham Road, the state highway runs 24.08 mi from U.S. Route 60 and SR 45 in Cumberland east to US 60 in Plain View. SR 13 parallels US 60 to the south through eastern Cumberland County and western Powhatan County and passes through the latter county's seat of Powhatan. The state highway is the only state-numbered highway in Virginia that shares a number with a U.S. Highway but does not form a state-numbered extension of that U.S. Highway. SR 13's number comes from being a segment of the original cross-state SR 13 in 1918; that highway included portions of modern US 60. In 1933, US 60 was shifted to its present corridor between Buena Vista and Richmond, replacing SR 13. Two years later, SR 13 was assigned to Old Buckingham Road when US 60 was moved to its present alignment from Cumberland to east of Powhatan.
Document 9: Kentucky Route 160: Kentucky Route 160, also known as KY 160, is a state highway in the U.S. state of Kentucky. It runs from the Virginia state line, where the roadway continues east to Appalachia, Virginia as State Route 160, north via Lynch, Benham, Clutts, Cumberland, Sand Hill, Gordon, Linefork, Kings Creek, Premium, and Hot Spot to Kentucky Route 15 at Van. KY 160 overlaps KY 15 through Isom to Cody, where it splits to run via Carr Creek, Brinkley, and Hindman, ending at Kentucky Route 1087 at Vest.
Document 10: Kentucky Route 38: Kentucky Route 38, also known as KY 38, is a state highway in the U.S. state of Kentucky. Part of the State Secondary System, it runs east from U.S. Highway 421 in Harlan east via Brookside, Evarts, Benito, Black Bottom, and Holmes Mill to the Virginia state line. In Virginia, the road continues as secondary State Route 624 to Keokee; State Route 606 and primary State Route 68 provide access from Keokee to the town of Appalachia, Virginia.
Document 11: Black Mountain (Kentucky): Black Mountain is the highest mountain peak in the Commonwealth of Kentucky, USA, with a summit elevation of 4145 ft above mean sea level and a top to bottom height of over 2500 ft . The summit is located at approximately in Harlan County, Kentucky near the Virginia border, just above the towns of Lynch, Kentucky and Appalachia, Virginia. It is about 500 ft taller than any other mountain in Kentucky.
Document 12: Ohio State Route 160: State Route 160 (SR 160) is a north–south state highway in the southeastern portion of the U.S. state of Ohio. Its southern terminus is at SR 7 in Gallipolis, and the route heads north. It meets U.S. Route 35 at an interchange with various collector and distributor ramps. SR 160 southbound bypasses the interchange on a 0.739 mi road officially designated SR 160-A. From there, the route passes through Vinton in northern Gallia County. Following an intersection with SR 32, the route heads in a more westerly direction until it meets and its northern terminus is at State Route 93 in Hamden.
Document 13: Brown's Mountain: Brown's Mountain is a mountain in Cherokee County in the state of South Carolina, United States. Brown's Mountain summit is at an elevation of 1,035 feet (315 meters) above sea level. The mountain is one of the three main mountain summits of Kings Mountain National Military Park and is the highest in the park. The other mountain summits are Joes Mountain and Kings Mountain.
Document 14: Black Rock Mountain State Park: Black Rock Mountain State Park is a 1,743 acre (7.03 km²) Georgia state park located west of Mountain City in Rabun County, Georgia. It is named after its sheer cliffs of dark-colored biotite gneiss in Georgia's Blue Ridge Mountains. Located astride the Eastern Continental Divide at an elevation of 3,640 feet (1,109 m), the park provides many scenic overlooks and 80 mile (130 km) vistas of the southern Appalachian Mountains. On a clear day, four states are visible: Georgia, North Carolina, South Carolina, and Tennessee. In addition to Black Rock Mountain itself, the park includes four other peaks over 3000 ft in elevation, making it the highest state park in Georgia.
Document 15: Mount Craig (North Carolina): Mount Craig, 6,647 ft , is the second highest peak of the Appalachian Mountains and second only to 6,684 ft Mount Mitchell in eastern North America. It is located in the Black Mountains in Yancey County, North Carolina. The mountain lies about a mile (2 km) north of Mount Mitchell and is within Mount Mitchell State Park and the Pisgah National Forest.
ground_truth: 4145 ft