I recently got a new hybrid bike for commuting and recreation. I like it but the riding position is a little bit too aggressive. This is fine for the short term but I am thinking of customizing it so that the riding position is more upright.
I will probably replace the handlebar but I also learned you can replace the stem with another one that has a rise. I also know that you can add spacers to the steering tube and move the stem up. However the stem is already near the top with only one spacer above it. For now, let's assume that I only want to replace the stem.
I found this stem which has a 30 degree rise. However, it also has a length of 70mm (the shortest one available), whereas my current stem is shorter (calculated as 55mm) but has no rise. I think the added rise will get me into an upright position but it seems to me that the extra length will mean the handlebar is further away and negate the rise.
How can I know if this new stem will give me a more upright position? How can I find this out in general? I feel like the answer might be to use some trigonometry but I was pretty bad in that subject.