to a higher place vs in a higher place

to a higher place and in a higher place both are adverbs.

Word	Noun	Adjective	Verb	Adverb
to a higher place	No	No	No	Yes
in a higher place	No	No	No	Yes

As adverbs, to a higher place and in a higher place are synonyms defined as:

to a higher place and in a higher place: in or to a place that is higher

Other synonyms of to a higher place include above, higher up.

to a higher place (adverb)	in a higher place (adverb)
in or to a place that is higher	in or to a place that is higher