Which sentence includes a dependent clause?

She smiled as she opened the package.
The package was heavy.
It was a fancy hat.
Today is her 16th birthday.

The sentence that includes a dependent clause is:

She smiled as she opened the package.

To identify a dependent clause, we need to look for a group of words that has a subject and a verb but does not express a complete thought on its own. In this case, "as she opened the package" is a dependent clause because it begins with the subordinating conjunction "as" and does not form a complete sentence.