And the droplets can still be infectious after they fall, so wash your hands after touching anything as well.

And wash your hands after leaving the area as well, because some of those droplets will have landed on your hands.

If you use a public bathroom to wash your hands, assume the sick person was in there earlier and touched the faucets, soap dispenser, towel dispenser, and door handle: get towels first (plus one extra), get the soap on one hand, then turn on the water and wash your hands. Dry your hands and turn the water off with the paper towel, then use the spare paper towel to open the door.