I've never had this much shade to deal with. I think probably you could grow lettuce there--I always try to grow mine in the shade of asparagus or peas so it doesn't bolt in hot summers; my book says it needs 5 hrs/day of sun. Carrots, broccoli,cabbage and spinach are also somewhat shade tolerant.

If your house is white, the reflected light may help the situation a bit.

If you attempt peas at all, they would probably last a bit longer in that situation, since they prefer cool weather...as do spinach and lettuce.

Here are several previous discussions on shade vegetables that you might find helpful.

Dave

Here is a link that might be useful: Shade Vegetable gardening discussions