Backstory: My character was on a boat and jumped to a nearby dock to clear an area of enemies. The dock was 20 feet away and 5 feet up. Rushed for time, we concluded the DC would be 40 (20 for long jump+20 for high jump). Which was fine, this character can make the jump without rolling. However, wanting to make sure I have the information in the following scenarios Also as this character is PFS if there is any RAW on this topic that would be preferred...
Searching the forums i have found that a lot of people use the old 3.5 rule where you make a parabola with the apex being 1/4 your distance, this is fine for some jumps, my dock example would have been around a DC 32 if you were following these rules. However this doesn't always work, especially if you need to travel up more than you need to travel forward, jumping to the top of a 10 foot wall 5 feet away for example.
Did you have a 10' running start? If not, the long jump should have been DC 40 all by itself. Not sure if one needs a running start to do a high jump, but the rules suggest that you do, so the DC of the 5' rise would be 40 as well (if you didn't have a 10' running start).
On your original question, I agree with doing it the way you did. The other alternatives are too mathy... in order to end 5' higher 20 ' away, you'd need to peak at 10-15'... Just add them.
my current character is a ninja, so no running start needed.
@Claxon In the tables you have participated in, has taking the highest of the DCs made it too easy? Idk...
At the table I play at/GM at usually anyone who has focused on a skill typically ends up blowing the DCs out of the water for the most part.
It's just how the system ends up working in my experience.
A DC 20 isn't something a first level character can usually accomplish, but could if they're very lucky. But it something a 10th level character can pass with only an investment of 1 skill point per level (assuming not in combat and take 10).
However, a DC 40 would be something that almost noone could pull of without very special investment into acrobatics. You would need 1 point per level, class skill, high dex, perhaps skill focus on magical items to boost your jump. Without skill focus or magical item you would only end up at a +30ish meaning you stil have to roll well in combat to succeed, but honestly a 5ft high jump isn't particularly heroic.
If you look at 3.5 for "guidance" I believe it had ruled that you reach a height of 1/4 your long jump distance which to me indicates basically that they intended the DC to be worst of either, not additive.
a horizontal jump's peak height is one-fourth of the horizontal distance
DC 40 lets you jump 40', with a 10' apex at 20' distance. That is 5' higher than needed.DC 30 lets you jump 30', with a 7.5' apex at 15' distance. A little high a little early. Much closer to the true DC value for 20' away and 5' up.
However, without a running start, the DC is doubled.
I would rule a DC of 60.
EDIT: Didn't see the ninja bit.
DC of 30, provided you retain some ki.
You only need 15 if you are 10th level and have ki.