If you’re staying over the state line in Incline Village or out in Reno, you can choose between two nearby ski resorts—Mt. Rose [1] and Diamond Peak [2].
Links:
[1] http://www.moon.com/destinations/california/lake-tahoe-and-the-northern-sierra/lake-tahoe/ski-resorts/nevada-side/mt-rose
[2] http://www.moon.com/destinations/california/lake-tahoe-and-the-northern-sierra/lake-tahoe/ski-resorts/nevada-side/diamond-peak