Hi Chris,
I used the
U.S. Naval Observatory website, and plugged in the Latitude and Longitude for Lone Pine Lake (Lon 118.2 west, Lat 36.6 north), with GMT-7 hrs (for Pacific Daylight Time), and came up with 6:47 AM. The same site reports 6:46 for Lone Pine.
Since the sun is rising over distant mountains that are nearly the same elevation as Lone Pine Lake, the angle makes very little difference -- you will be watching the sunrise at a near horizontal angle. (Now sunset from Trail Camp would be a completely different matter.)
By the way, we used the USNO site to create tables of start/stop times for the webcams.
Here's a Whitney summit sunrise pic from Sept 8 at 6:27. USNO sunrise time for that location and date: 6:30
