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A skier starts at the top of a very large frictionless snowball, with a very small initial speed, and skis straigt down the side. At what point does the skier loses contact with the snowball and fly off at a tangent. That is, at the instant the skier loses contact with the snowball, what angle does the radial line from the center of the snowball to the skier make with the vertical?

This is the only information I got. I know the radial acceleration stops as soon the skier loses contact so I did a=mg*cos(angle)

I have no clue how to reach the answer.

The answer is 48.2°

Could someone please give me a hint