Hello,
Which sentence contains a dangling modifier?
1. When the storm began to abate, we went home.
2. By the light of the moon, I tripped over a rock.
3. The dog that is man's best friend is cat's worst enemy.
I don't see any dangling modifiers in here. Here are some websites with really good explanations so you can check them out. Then below, I'll explain what each sentence is.
http://grammar.ccc.commnet.edu/grammar/modifiers.htm
http://www.uottawa.ca/academic/arts/writcent/hypergrammar/msplmod.html
http://owl.english.purdue.edu/handouts/grammar/g_dangmod.html
1. introductory adverbial (dependent) clause + main clause
2. introductory prepositional phrases + main clause
3. main clause with a relative (dependent) clause in it
http://grammar.ccc.commnet.edu/grammar/clauses.htm
Let me know if you have more questions.
=)