The correct answer is A. exhausted.

Exhausted means very tired, especially after a lot of physical or mental effort. Weary means tired and bored, especially after a long journey or period of time. Frustrated means feeling annoyed or impatient because you are unable to do something or achieve something that you want to do. Lithe means flexible and graceful in movement. Emancipated means freed from slavery or other forms of oppression.

In the sentence "Tired and weary he returned home late that night," the word "tired" suggests that the person has been physically active, while the word "weary" suggests that they have been mentally or emotionally drained. This suggests that the person is exhausted, both physically and mentally.

The other options are not as relevant to the sentence. Frustrated suggests that the person is annoyed or impatient, but there is no indication in the sentence that the person is feeling this way. Lithe suggests that the person is flexible and graceful, but there is no indication in the sentence that the person is moving in any way. Emancipated suggests that the person is free from slavery or other forms of oppression, but there is no indication in the sentence that the person has been enslaved or oppressed.