occam
Hero
EDIT - Hold the news! Maybe those trainers aren't totally awful - they trained those PCs to make (without a check!) a STR SCORE leap if they have a 10' running start! So Mrs STR 20 Fighter can straight-up running leap 20ft no check (which makes "Remarkable Athlete" even more hilariously bad). You only need to check to clear obstacles or land in bad terrain. Even no start gives Mrs STR 20 a 10ft leap. Noice. Vertical jumping she's no slouch either - assuming she's 6' tall and has a 10' run-up, she can (no check) catch on to a ledge 19ft up! With a check the DM may allow her to go higher.
Now, come on, she'd only be able to reach a 17-foot-high ledge (3 + STR mod (5) + 6 + 0.5*6). Because reaching 19 feet high would be preposterous.