in a higher place vs to a higher place

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

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

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

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

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

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