Explanation:

- The word "respectful" refers to showing respect or politeness.

- Option 1: Admiring – This means showing admiration or appreciation. While not a direct synonym, it shares the connotation of positive regard.

- Option 2: Derogatory – This means showing a critical or disrespectful attitude. It's the opposite of respectful.

- Option 3: Dutiful – This implies fulfilling one's duties or responsibilities. Close synonym of respectful.

- Option 4: Insolent – This refers to showing a rude and arrogant lack of respect.

Considering these options, "admiring" is the closest synonym to "respectful."

- Correct Answer: Option 3, dutiful