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I would consider the roofline the highest point, or the "ridge".
depends on if you want gutters
It's very easy. If you level a line one foot at the bottom of your roof, and then plumb a line up that will tell you the pitch. Probably the best way to do this is to got into the attic take a level, a tape measure, and a marker. Your rafters slope down put your level up against the plywood of the roof hold it level and make a make on your level at one foot, then measure up from the one foot mark to the top of the plywood. Whatever, that measures will be your pitch.
The apex of roof is basically the highest point of the roof where ridge cap and ridge roll of a roof is located.
Yes, a gambrel is a form of hip roof.