It would be about 200 miles. While you could take Tioga, another method would be to exit the Sierra Nevada on the west side, drive south, and re-enter the mountain range to get to Yosemite.
Its right around 54 miles.
The one in Washington is 961 miles from Yosemite.
about 200 miles
141 miles
834 miles
765 miles
650 miles
281 miles
Nearly 1200 square miles
400 miles
Bishop, California is 139 miles from Yosemite National Park.
Yosemite National Park's area is 1,189.6 square miles.