Finding A compound angle

Hi All..

I have been scratching my head for some time trying to work out a compound angle.

I have attached a file.

There is a base sphere, where I have created a co-ordinate system and my Base Zero position..

In theory.. I should be able to rotate the top plate in this to Co-ordinate system 2 about the sphere.

This should be rotated in 2 axis's.. in order to get the top plate flat again..

I can't work out the 2 angles I need.. 1 tip and one rotation..

Any help here is most appreciated..

TIA

Ben

SolidworksGeneral