Does Dimension Door up, then Feather Fall work as I expect?

My character wants to impress a person by teleporting 500′ up with Dimension Door together with them, then casting feather fall to spend the next almost a minute (500′ / 60′ = landing on 9th round) admiring the scenery and conversing privately.

Does this work as expected?

My own thoughts:

Dimension Door up should be unproblematic (it takes a special kind of DM to roll for bird impact here).

My main worry is, does the Feather Fall, cast as reaction when falling, activate immediately at 500′ giving the full “flight time”.

Then landing should again be problem-free, right?

Any hazards I am not aware of, assuming there are no hostiles shooting at the falling characters?