New angle formed after rotating pipe I am having a bit of an issue with a problem (home maintenance) and would need to figure out a new angle formed after rotating a pipe. I will try to be as descriptive as possible:

This diagram shows the top view and the side view, so the pipe is both going down AND to the side, forming an angle of $35$ degree when seen from above.
My question would be, if I were to rotate the STATIONARY horizontal pipe $11$ degrees, what would the NEW angle formed be from above (it is $35$ degrees now, what would it become after I rotate that horizontal component 11 degrees on itself, position stays the same).
if possible, I would like two answers: the new angle after it is rotated clockwise and counterclockwise
Thank you very much

This is not an answer but is a little long for a comment.

I don't think there's quite enough information to answer the question. As I understand it, you've stated the apparent angle that a revolving pipe makes when viewed from one particular direction. You then ask for the apparent angle after rotation about an axis perpendicular to our line of sight. But that depends upon how much it has already been rotated from the spot where the apparent angle is at a maximum or (equivalently) where the axis and revolving pipe are in a plane that is perpendicular to our line of sight.
To illustrate, have a look at the figure below. The rotation of the horizontal axis occurs at a constant rate. Note, however, that the rate of change of the apparent angle appears to be faster when that apparent angle is near zero. As a result, the change of the apparent angle after a rotation about the axis of 11 degrees depends upon where you are in the rotation.

