What is the best way to visualize a real function on a sphere as a mountain, using spherical coordinates?
I would like to plot
ArcCos[Cos[longitude] * Cos[latitude]] on a sphere in a way that I can see the sphere and the function on it like a mountain above the sea.
So the sphere should have radius 10, show the poles and the equator, and I should be able to the see both the sphere and the function above it. What is the best way? Ideally, I would be able to rotate the result with my mouse ...