He asked me how the weather will be tomorrow.

He asked me what the weather would be like the next day. The question about the weather is: What's the weather like? /What's the weather like? So the answer is to choose in BD, the word order of the object clause is the word order of the declarative sentence, and choose B.

Comments: The examination of object clauses mainly examines the word order of sentences and the semantic discrimination of conjunctions. The word order of interrogative sentences as object clauses often becomes declarative sentences. Also pay attention to the method of asking about the weather.