Well, for him, he has mg pushing him up vertically, and in the horizontal, he has a centripetal force of mv^2/r in the horizonal pushing him horizontal.
resultant has to be sqrt(sum of those two forces).
Now why didn't I figure the forces in the coordinate system parallel to the bank? Forces are forces, it would have been the same result, and a lot of unnecessary work.
A car travels around a curve banked at 45 degrees at 30 m/s. The radius of the track is 40m. What is the resultant force on the driver of the car?
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