SRD 5.2.1 · Movement
A 6-foot-tall character with Strength modifier +2 has a qualifying running start and enough movement. What is the highest reach described by the rule?
14 feet: 5 feet of jump plus 9 feet of reach.
The running leap is 3 + 2 = 5 feet. The character can extend their arms half their height above themselves, making reach height one and a half times 6, or 9 feet. Added to the leap, that is 14 feet. Reaching a ledge and successfully holding it may still involve the actual situation.
Do not use the full Strength score for High Jump; that belongs to the Long Jump distance rule. A running start and the jump still consume movement.
What are the leap height, upward reach and movement budget for this attempt?
When you make a High Jump, you leap into the air a number of feet equal to 3 plus your Strength modifier (minimum of 0 feet) if you move at least 10 feet on foot immediately before the jump. When you make a standing High Jump, you can jump only half that distance. Either way, each foot of the jump costs a foot of movement. You can extend your arms half your height above yourself during the jump. Thus, you can reach a distance equal to the height of the jump plus 1½ times your height.
Source: SRD 5.2.1, 183. Online guide.
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