"Fall from" vs. "fall off"
Solution 1:
Which you should prefer depends on the particular circumstances, and what is being fallen from (or off).
You would usually fall off a bicycle, off the wagon or off the radar.
You might fall off or from the roof or the top of a mountain.
You would usually fall from a tenth-floor balcony, from grace, from a great height or from the top stair.
But both sentences are correct.