lean

(of an object taller than its width and depth) An inclination away from the vertical.

"The trees had various leans toward gaps in the canopy."

To incline, deviate, or bend, from a vertical position; to be in a position thus inclining or deviating.

"She leaned out of the window."

To incline in opinion or desire; to conform in conduct; often with to, toward, etc.

"I’m leaning towards voting Conservative in the next election.  The Hispanic vote leans Democratic."

Followed by against, on, or upon: to rest or rely, for support, comfort, etc.