720p/60fps is not very good..
1080p/60fps Wide, would be much better and sharper.
http://abekislevitz.com/understanding-your-new-gopro/
That’s not what that article says. What it says is:
“720 60 Wide
Looks great, but why don’t you try using 1080 60 Wide instead”
Why you might choose to not use 1080p at 60fps is that editing that footage is processor intensive. Fine if you have a computer that can handle it but if not then I suggest sticking to 720p.
Also the OP only said it’s a Hero 3 not that its the black edition. The silver and white don’t do 1080p 60fps so he might not even be able to go for that mode.