None of the top answers are anywhere near EL5. I am going to try:
Sloped roofs do not have to be water-tight to keep water out. People around the world use materials such as hay, leaves, wood shingles and clay tiles to keep water out.
The steeper a roof is, the faster water rolls off or it, but it is also harder to build a steep roof and it uses much more material.
Flat roofs are never fully flat since they have to provide a way for water to move off the roof. The slope of a “flat” roof can be much less stiff, but has to be completely waterproof to work. This means that modern materials or tar (which is an industrial product and is therefore “modern”) must be used.
The benefits of flat roofs are that you can enclose the most space for the least material, but this is also driven by what material your building is made of.
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