Answer:
A dog barked at me while I was running to catch the bus.
Step-by-step explanation:
When a modifier is misplaced or dangling, it will make the sentence ambiguous, generating confusion as to the message being conveyed. A misplaced modifier is one that is placed far from the element it refers to. A dangling modifier is one that does not seem to refer to any element in the sentence specifically.
In the sentence we are analyzing here, we have a dangling modifier: "running to catch the bus." Who is the subject of this modifier? The dog? I? It is unclear. We can assume that I was the person running to catch the bus and, while I was at it, a dog barked at me. Thus, to make that clear, we can rewrite the sentence in the following manner:
"A dog barked at me while I was running to catch the bus."
Even if we invert the clauses, the sentence will still make sense:
"While I was running to catch the bus, a dog barked at me."