Beginner Gardening: Where to locate my garden - light issues, 0 by Martell

Martell wrote:
Thanks for all the advice. The problem is my back yard is much larger than my front yard (we have a really long lot though). Also, I lied- the large trees are to the SW, and they are really large, like a couple hundred feet tall. There are other trees surrounding the yard to the South end, but they are not quite as tall. There are probably also a few I can cut down.

I am attaching a really ugly diagram with an idea of where I think it would work best. Maybe it won't though? You have to imagine the whole yard being surrounded by 10 feet tall trees plus whatever else I drew on.