Read the sentence.

Swinging through the air, the children were delighted by the acrobats on the stage.

Which part of the sentence is a dangling modifier?

The answer is swinging through the air.

A dangling modifier is a word, phrase or clause which is misplaced or inappropriately distant from the word it modifies. As a result, it produces confusion and ambiguity.

In this example, it is not clear whether the children or the acrobats are "swinging through the air." The sentence is open to more than one interpretation and has a double meaning.