You are correct! The point of view is third person! Hope this helps and good luck!
The sentence that contains a dangling modifier is C) Looking through the window, the room seemed very large.
It is dangling because we don't know who the participial phrase <em>looking through the window </em>refers to. It certainly doesn't refer to the room, the room wasn't looking through the window.
The Answer is A) <span>determining the authors intentions
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