Which words in the sentence are the misplaced participial phrase?

I finally reached the peak climbing steadily to the top of the mountain at sunset.

Verified Answer :

The participial phrase must contain a participle - which is here "climbing".

so the phrase is the one surrounding the participle:

 climbing steadily to the top of the mountain (at sunset)

It is misplaced here, because it sounds like the peak is climbing, not the subject of the sentence "I".