There are a couple of ways you can go. If you go through the back gate and over the drive is about 5-6 hours. You could go to Merced and drop down to Sacaramento and into Reno and I think the drive would be close to the same time frame give or take a hour or so. I think I would be inclined to go through Mariposa and over.
About 150 road miles.
The one in Washington is 961 miles from Yosemite.
It is 275 miles via CA-88 and CA-49.
about 200 miles
141 miles
650 miles
765 miles
834 miles
Reno's area is 69.3 square miles.
281 miles
400 miles
Nearly 1200 square miles