(Note to the reader: Even if you don’t care for the math part, follow along. I’ll show you how make even the math really simple.)
If then sun rises at 7:04, then sun should hit the beach 34.7 minutes later, at 7:39AM, Hawai'i time.
C. Use Google Earth "Sunlight Tool" A third option is to use the "Sunlight Tool" that's built-into Google Earth.
To use the tool, you fly to the place of interest (Wailea), and then move the slider along until you see the sunlight hit your point of interest.
The big problem with this method is that it's not very exact. You can see that the sunlight hits Wailea beach well after sunrise, but it's hard to tell precisely when the sun comes over the ridge. It's a great general tool, but not really precise enough for our purposes.
BIG KAHUNA LESSON FOR THE DAY: As I've said before, when you start doing your research, search for tools to help out with your task. In this case, it's not hard to search for the elevation profile tool in Google Earth. All you need to do is to conceive of the idea that there just might be a tool for your task. Then search for it. In this case, I searched for:
[ Google Earth elevation tool ]
and I found several blog posts about it. I honestly didn't know it was there when I initially asked this question. Now I'm a little bit smarter, and have a power tool for future projects.