The words cued, queued sound the same but have different meanings and spellings. Why do cued, queued sound the same even though they are completely different words?
The answer is simple: cued, queued are homophones of the English language.
Plural form of cue.
Third-person singular simple present indicative form of cue.
Plural form of queue.
Third-person singular simple present indicative form of queue.
Definitions from Wiktionary, Creative Commons Attribution/Share-Alike License and Wordnik.
Homophones (literally "same sound") are usually defined as words that share the same pronunciation, regardless of how they are spelled.