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?

Context paragraphs:
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.

Gulf Coastal Lowlands: The Gulf Coastal Lowlands is a geomorphological province in Florida.  The province extends along the coast of the Gulf of Mexico from the western end of the Florida Panhandle to near Ft. Myers in southern Florida.  The average width of the province is 40 km.  While much of the province is less than 15 m above mean sea level (msl), it rises to about 100 ft above msl along its inland side.  It is the largest geomorphological province in Florida.  Due to its low elevation, the province was at sea level during warmer periods of the Pliocene and Pleistocene, and features such as ancient dunes and sand bars are found far inland.  Marine terraces found in the Gulf Coastal Lowlands include the Silver Bluff [1 ft to 10 ft above mean sea level (msl)], Pamlico [8 ft to 25 ft above msl], Talbot [25 ft to 42 ft above msl], Penholoway [42 ft to 72 ft above msl] and Wicomico [70 ft to 100 ft above msl] terraces.

Holston Mountain: Holston Mountain is a mountain ridge in Upper East Tennessee and southwest Virginia, in the United States.  It is in the Blue Ridge Mountains part of the Appalachian Mountains.  Holston Mountain is a very prominent ridge-type mountain in Tennessee's Ridge and Valley Region, about 28 miles (45 km) long, running from southwest to northeast, covering about 268 square miles (694 km²).  Its highest summit is "Holston High Point", on which a Federal Aviation Administration (FAA) aircraft navigational beacon is located, at an elevation of 4,280 feet (1,304.5 m) above mean sea level.  The second highest point is "Rye Patch Knob", at 4,260 feet (1,298.5 m) above mean sea level.  The third highest point is "Holston High Knob" where an old dismantled Cherokee National Forest fire tower (now a Communications Tower) marks the elevation at 4,136 feet (1,240.5 m) above mean sea level.

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.

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.

Tidal flooding: Tidal flooding, also known as sunny day flooding or nuisance flooding, is the temporary inundation of low-lying areas, especially streets, during exceptionally high tide events, such as at full and new moons.  The highest tides of the year may be known as the king tide, with the month varying by location.  In Florida, controversy was created when state-level government mandated that the term "nuisance flooding" and other terms be used in place of terms such as sea level rise, climate change and global warming, prompting allegations of climate change denial, specifically against Governor Rick Scott.  This amid Florida, specifically South Florida and the Miami metropolitan area being one of the most at risk areas in the world for the potential effects of sea level rise, and where the frequency and severity of tidal flooding events increased in the 21st century.  The issue is more bipartisan in South Florida, particularly in places like Miami Beach, where a several hundred million dollar project is underway to install more than 50 pumps and physically raise roads to combat the flooding, mainly along the west side of South Beach, formerly a mangrove wetland where the average elevation is less than one meter (3.3 feet).  In the Miami area, where the vast majority of the land is below 10 ft , even a one-foot increase over the average high tide can cause widespread flooding.  The 2015 and 2016 king tide event levels reached about 4 ft MLLW, 3 ft above mean sea level, or about 2 ft NAVD88, and nearly the same above MHHW.  While the tide range is very small in Miami, averaging about 2 ft , with the greatest range being less than 2 m , the area is very acute to minute differences down to single inches due to the vast area at low elevation.  NOAA tide gauge data for most stations shows current water level graphs relative to a fixed datum, as well as mean sea level trends for some stations.  During the king tides, the local Miami area tide gauge at Virginia Key shows levels running at times 1 ft or more over datum.

Geopotential height: Geopotential height is a vertical coordinate referenced to Earth's mean sea level — an adjustment to geometric height (elevation above mean sea level) using the variation of gravity with latitude and elevation.  Thus it can be considered a "gravity-adjusted height".  One usually speaks of the geopotential height of a certain pressure level, which would correspond to the geopotential height at which that pressure occurs.

Britton Hill: Britton Hill is the highest natural point in the state of Florida, USA, with a summit elevation of 345 ft above mean sea level.  Britton Hill is the lowest state highpoint in the United States, 103 feet (31 m) lower than the next lowest highpoint, Ebright Azimuth in Delaware.

Metres above sea level: Metres above mean sea level (MAMSL) or simply metres above sea level (MASL or m a.s.l.) is a standard metric measurement in metres of the elevation or altitude of a location in reference to a historic mean sea level.  Mean sea levels are affected by climate change and other factors and change over time.  For this and other reasons, recorded measurements of elevation above sea level might differ from the actual elevation of a given location over sea level at a given moment.

Glassy Mountain (South Carolina): Glassy Mountain is a mountain close to Pickens, South Carolina, USA, in Northwestern South Carolina, with a summit elevation of 1647 feet (502 m) above mean sea level.  While it is an isolated monadnock, it is still close to the Blue Ridge, providing views of nearby summits such as Table Rock and Caesar's Head as well as Greenville.  The mountain gets its name from a large, bare, granite face on its North side.  At the top of this rock face are small springs that trickle down the mountain, giving it a "glassy" appearance in the sun.  It is easily accessible, as a small service road for transmitter towers leads to the summit.  Local high-schoolers often paint the rock face with graduation years.  These year numbers can be so large as to be seen on aerial imaging of the mountain

Supporting paragraphs: William Barton Rogers Mount Rogers
Answer: Mount Rogers