The authors use the archetype of the mountain differently In the first excerpt, Lootie and the princess purposefully set off to walk up the mountain.
In the second excerpt, Rip finds himself at the top of the mountain without having meant to travel so far.Thus the second option is correct.
The Archetype of the mountain refers to the prototype or the pattern in which the mountains looked like. For example ancient people use to consider mountain as the home of the gods.
In the above passage The Princess and the Goblin, describes that Lootie and the princess set out on foot to climb the mountain on purpose.
The excerpt Rip Van Winkle written by Washington Irving without intending to go so far, Rip finds himself at the summit of the mountain.
Thus the second option is correct.
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