* "When the storm began to abate we went home." This sentence is grammatically correct. The modifier "When the storm began to abate" clearly and logically modifies the subject "we."
* "By light of moon it tripped over rock." This sentence has a dangling modifier. "By light of moon" is meant to modify the subject "it," but it's unclear what "it" refers to. Who or what is tripping over the rock?
* "The dog that is mans best friend cats worst enemy?" This sentence is grammatically incorrect and confusing. It's unclear what the intended meaning is. It seems to be trying to express that dogs are man's best friend and cats' worst enemy, but the sentence structure is nonsensical.
Here's how to fix the dangling modifier in the second sentence:
* Correct: "By the light of the moon, I tripped over a rock." (This clarifies the subject doing the tripping)
To fix the third sentence, we need to rewrite it to make it clear and grammatically correct:
* Correct: "Dogs are often called man's best friend, but they can be a cat's worst enemy." (This makes the meaning clear and uses proper grammar)