What is the role of lieutenant governor

The Lieutenant Governor is the second highest elected official in the state and, as such, has a great deal of influence on state policy and the establishment of spending priorities.  As the President of the Senate, the Lt. Governor presides over debate in that chamber and oversees the movement of legislation through the chamber.  While he cannot vote or sponsor legislation, he works with advocates in the Senate to introduce the legislation for him.

If the Governor is incapacitated temporarily, the Lieutenant Governor exercises the powers of the Governor. If the Governor dies or otherwise can no longer fulfill his duties, the Lieutenant Governor serves the Governor's unexpired term.

where is your diagram?

because he is that the right