A key out of reach near Dylan's hut

Dylan's door key lies on a ledge across a gap, and no jump gets there.
Nudge 1Where to look
Look up: there's a metal hook above the gap.
Nudge 2A stronger push
You need the long rope from the first floor.
What you needOther problems to solve first
Solve these first (each opens its own page, no answers on the way):
Show the solutionThe whole answer, with a video
With the rope in Dizzy's hands, stand under the hook on the left of the gap and press B: Dizzy swings across. Land on the ledge and pick up Dylan's door key.
Why it works
Each hook has its own swing (its length and arc). With the rope carried, B under a hook starts it, and Dizzy lets go at the far end of the swing.