3D coordinates on a sphere to Latitude and Longitude

Question

I\'ve got the following information:

There exists a sphere with origin (0,0,0) and radius R. After doing a ray-sphere intersection I know a point (XYZ) in 3D space t

Answer 1

This is back-of-envelope work but:

Lat = arctan(z/(sqrt(x^2+y^2)))

Long = arccos(sqrt(x^2+y^2)/x)