4 times i think\ i think not sure
I assume that the verbal phrase underlined was "to arrive at the base camp"
It's an infinitive verbal phrase as it focuces on the indefinite form "to arrive"
It modified the word "eager", which is an adjective, and it gives more information about how eager, or what the reason for the eagerness was - this means it's an adverb phrase
So the answer is: infinitive; adverb
At the start of a warm, sunny day,
The child followed nature's way.
Overcame with a realization of no other,
That the endless magnificence is further.