Tenaya Lake from near Olmsted Point

Tenaya Lake

If you climb the dome across the road from Olmsted Point, follow its ridge to the next mountain eastward, and then hike around the mountain's backside all the way to its eastern end (a hike of about a mile), you'll reach this view of Tenaya Lake. You can't see Mt. Conness from here, but you do see more of the Tenaya basin, including an impressive straight-on view of the lake's surface and, a bit less impressive, stretches of the Tioga Road. If you don't want to retrace your steps, it's possible to clamber down the granite to the road and then hike back along the shoulder to Olmsted Point, but it's steep, slow going, and mildly dangerous, and it probably won't save you any time in the long run.