climb

Go upward with gradual or continuous progress.

“Did you ever climb up the hill behind your house?”

Go up or advance.

“Sales were climbing after prices were lowered”

Increase in value or to a higher point.

“prices climbed steeply”

Improve one's social status.

“This young man knows how to climb the social ladder”

Move with difficulty, by grasping.

Slope upward.

“The path climbed all the way to the top of the hill”

An upward slope or grade (as in a road).

An event that involves rising to a higher point (as in altitude or temperature or intensity etc.).

The act of climbing something.

“it was a difficult climb to the top”