I have a 40x50 hip roof using coffer trusses. I have a 20x30 area that is raised an additional 4 foot where my 2post sits The raised section is 16' tall. The coffer truss was less than $500 additional bucks over the standard truss for the entire package.
This is what a 40x50 with 12' sidewalls and a 8/12 pitch roof looks like sitting next to a two story house with 8/12 pitch roof. The garage is 15 feet to the side and 15 feet back from the corner. The garage peak sits about 18" lower than house peak.
If you have a single story house the garage will tower over it by a good margin.