The easiest way to understand this is to draw it.
Use a protractor and draw a 40 degree angle then draw a perpendicular line at a right angle to the horizontal line. The resulting angle at the top will be 50 degrees.
The pitch of a roof is the angle between the slope of the roof and the horizontal, ie the angle at the wall plate not at the ridge.
If you still aren't convinced, buy a ready reckoner.
Roof pitch 40 degrees, common rafter - seat = 40 - ridge = 50
If you're building a new roof you can't really go wrong using the reckoner. All the angles are there, as are the rafter lengths.
Use a protractor and draw a 40 degree angle then draw a perpendicular line at a right angle to the horizontal line. The resulting angle at the top will be 50 degrees.
The pitch of a roof is the angle between the slope of the roof and the horizontal, ie the angle at the wall plate not at the ridge.
If you still aren't convinced, buy a ready reckoner.
Roof pitch 40 degrees, common rafter - seat = 40 - ridge = 50
If you're building a new roof you can't really go wrong using the reckoner. All the angles are there, as are the rafter lengths.