Looking at the front of your house i d do at least a 5 12 up to a 7 12 roof pitch and gable it.
Hip roof with gable addition.
For high wind areas or strong storms a pitch of 4 12 6 12 18 5 26 5 angle is recommended.
It may be better to stick frame the addition roof.
Box gable roof a type of hip roof where each side includes two different sloping angles with the lower angle much.
Also known as a pyramid.
Gambrel roof a multi sided.
Gable roof addition to hip roof house in order to have the existing roof line plane through you ll need to match the pitch from the existing to the new addition.
Hip roofs are more expensive to build than a gable roof.
Variations of a gable roof open gable roof a hip roof on a square structure where all sides join to form a single peak.
It s a more complex design that requires more building materials.
If you gabled the roof instead of having a hipped one it would give it more prominence.