ascend

Travel up.

“We ascended the mountain”

“The mountaineers slowly ascended the steep slope”

Come up, of celestial bodies.

“Jupiter ascends”

Move to a better position in life or to a better job.

“She ascended from a life of poverty to one of great renown”

Appear to be moving upward, as by means of tendrils.

Become king or queen.

“She ascended to the throne after the King's death”

Go along towards (a river's) source.

“The boat ascended the Delaware”

Go back in order of genealogical succession.

“Inheritance may not ascend linearly”

Slope upwards.

“The path ascended to the top of the hill”