I thought about posting this in design and construction, but not everyone there knows the type of weather we deal with in the winter. As much as I thought out my coop, I failed to take into account that I need to add a shelter over part of my run. Obviously I need something that sheds rain, but I don't want it to be too tall. The tallest part of my run.. the part attached to the coop, is about 6ish (I use that measurement loosely) feet.
How much of a slope would I be looking at needing?