Juan starts climbing a spiral staircase that is 10 meters high and 4 meters wide from the base. what is the magnitude of his resultant displacement?

The magnitude of a displacement is the straight-line distance
from the beginning point to the end point, regardless of the path
that was taken to get there.

Juan's displacement is the straight-line distance from the bottom
of the staircase to the top.

That's 10 meters.