Question: the Trail of the Lonesome Pine runs 8.02 mi from the Kentucky state line on top of a mountain that is how high ?

Context paragraphs:
New York State Route 531: New York State Route 531 (NY 531) is a limited-access, east–west state highway located in Monroe County, New York, in the United States.  The route extends for 8.02 mi from the far northwestern suburbs of Rochester to the town of Gates located just west of the city.  The western terminus of the route is at an intersection with NY 31 and NY 36 west of the village of Spencerport in the town of Ogden, while the eastern terminus of NY 531 is at Interstate 490 (I-490) exit 8 2 mi west of the Rochester city limits.  NY 531 is the primary route between Rochester and the village of Brockport, located 5 mi northwest of NY 531's west end.

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.

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.

Tennessee State Route 22: State Route 22 (SR 22) is a 172.8 mi south-to-north state highway in the western part of the U.S. state of Tennessee.  It begins at the Mississippi state line in McNairy County, where the roadway continues as Mississippi Highway 2.  It ends at the Kentucky state line in Lake County, when it crosses into the Kentucky Bend, a detached portion of Fulton County, Kentucky.

U.S. Route 421 in Virginia: U.S. Route 421 (US 421) is a part of the U.S. Highway System that runs from Fort Fisher, North Carolina to Michigan City, Indiana.  In Virginia, the U.S. Highway runs 69.23 mi from the Tennessee state line between the twin cities of Bristol, Tennessee and Bristol, Virginia north and west to the Kentucky state line near St. Charles.  Between its endpoints, US 421 has lengthy concurrencies with US 23 and US 58 during its course through Bristol, Weber City, Gate City, Duffield, and Pennington Gap in Southwest Virginia.

Badger State Trail: The Badger State Trail is a 40 mi rail trail in south central Wisconsin.  The trail leads from the Wisconsin – Illinois state line to Madison passing through, from south to north, Monroe, Monticello, Belleville and Fitchburg.  Near Monticello, the trail passes through the 1200 ft long, unlit Stewart Tunnel constructed in 1887.  A state trail pass is required to bicycle or ski the trail, and the path is patrolled by Wisconsin Department of Natural Resources rangers.  The Badger State Trail connects to the Capital City Trail in Madison, and the Jane Addams Trail at the state line (leading to Freeport, Illinois) which will connect to the proposed 500 mi Grand Illinois Trail System.  Along the way, the Badger State Trail crosses the Sugar River Trail in Monticello.

The Trail of the Lonesome Pine (1923 film): The Trail of the Lonesome Pine was a 1923 American silent drama film directed by Charles Maigne.  Based on the play and novel of the same name, the film starred Mary Miles Minter in her final film role.  "The Trail of the Lonesome Pine" film is now considered lost.  Three other adaptions exist, including earlier 1914 and 1916 silent versions as well as a 1936, all color and sound film.

Lonesome Pine District: The Lonesome Pine District is a high school conference of the Virginia High School League which draws its members from the western part of Southwest Virginia.  The district's name comes from The Trail of the Lonesome Pine.

U.S. Route 23 in Virginia: U.S. Route 23 (US 23) is a part of the U.S. Highway System that runs from Jacksonville, Florida to Mackinaw City, Michigan.  In Virginia, the U.S. Highway runs 60.80 mi from the Tennessee state line near Weber City north to the Kentucky state line near Pound.  US 23, which is known as Orby Cantrell Highway for most of its course, is a four-lane divided highway that follows Corridor B of the Appalachian Development Highway System through Southwest Virginia.  The U.S. Highway serves as the main east–west highway of Scott County and the primary north–south highway of Wise County.  US 23 runs concurrently with US 58 from Weber City to Duffield and with US 58 Alternate between Big Stone Gap and the independent city of Norton.

Lonesome Pine Fiddlers: The Lonesome Pine Fiddlers (1938- 1966) were an early bluegrass band which included such notable "first generation" bluegrass musicians as Ezra Cline, Bobby Osborne, Paul Williams, Melvin Goins, Charlie Cline, Curly Ray Cline, Larry Richardson and for a short time Jimmy Martin.  The group was started by Ezra Cline and Curly Ray Cline and was originally named "Cousin Ezra and the Lonesome Pine Fiddlers".  The Clines came from a large family consisting of musically talented people.  Ray and Charlie's father, Charlie, was a talented banjo player and the women in the family, Geraldine and Bobbi, were great singers.  For reasons unknown, Bobbi and Geraldine never joined the band on the road but often joined in at home, especially when notable Country singers, such as Bill Monroe, Lester Flatt and Earl Scruggs, and Hank Williams, came visiting.  None of them ever had a music lesson yet excelled on every instrument they touched.  Natives of the Gilbert Creek region of southern West Virginia, Cousin Ezra, along with brothers Ireland (Lazy Ned) and Curly Ray Cline, were part of the original Lonesome Pine Fiddlers from about 1938, a group that worked on radio at WHIS Bluefield, West Virginia.  During World War II, Ned was killed in action.  When the Pine Fiddlers resumed regular daily broadcasts, Charlie, who played multiple instruments, joined them on a regular basis.  Charlie returned to the Fiddlers briefly before becoming a member of Bill Monroe's Blue Grass Boys.  During 1952-1955, Charlie worked off and on with Monroe, recording some 38 songs, all on Decca.  It has been said that he played every instrument at one time or another in the Monroe group except mandolin.  Charlie spent most of 1953 back with the Lonesome Pine Fiddlers working at WJR radio in Detroit.  When Ezra brought the band to Pikeville, Kentucky, in November, Charlie rejoined Bill Monroe.  In 1954, Charlie did a session, playing lead guitar, with the Stanley Brothers and also another one on RCA with the Fiddlers, although he was not otherwise working with them at the time.  He also worked briefly as a sideman with the Osborne Brothers, although he did not record with them.  By 1958, Charlie (electric lead guitar) and his wife, Lee (electric bass), had rejoined Ezra and Curly Ray in the Lonesome Pine Fiddlers, who were experimenting with a more modern sound and working a TV show in Huntington, West Virginia, in addition to daily radio in Pikeville.  In his later years, Charlie was with the Stanley Brothers.  Curly Ray also played with the Stanley Brothers at a different time as their fiddler.  Curly Ray was one of the best fiddlers in Bluegrass.  This most talented family of musicians were the best, surpassed by none.  Finally, on October 1, 2009, The Lonesome Pine Fiddlers got their due when they were inducted into the International Bluegrass Hall of Fame at the Ryman Theater (the original home of the Grand Ole Opry).  Bobby Osborne, Melvin Goins and Paul Williams were there to receive the bands award.  In the crowd of a sold out theater was the son of Ezra Cline, Scotty Ireland Cline, who recalled being in that same theater as a child sitting on stage and watching the Fiddlers play.  (At the time, the Opry had bleachers for family just off stage).  The final act of the evening at the IBMA Awards was the playing of "Pain in my Heart" by Osborne, Goins and Williams along with a Song from the Dillards, who were also inducted the same evening.

Supporting paragraphs: Virginia State Route 160 Black Mountain (Kentucky)
Answer: 4145 ft above mean sea level