At 6,684 feet in the Black Mountains, Mount Mitchell is the highest peak in North America, east of the Mississippi. The mountain is named for Elisha Mitchell, the academic who explored the peak, but later fell to his death on a nearby waterfall. His grave is on the summit, but the observation tower there is being rebuilt. The park is accessible by N.C. 128 off the Blue Ridge Parkway. The park is open year round during the day, weather conditions permitting. It's free, but fees are charged for campsites and picnic shelter rentals. (828) 675-4611.