height, hight

The words height, hight sound the same but have different meanings and spellings. Why do height, hight sound the same even though they are completely different words?

The answer is simple: height, hight are homophones of the English language.

height
  1. :: noun

    The distance from the base of something to the top.

  2. :: noun

    Elevation above a given level, as of the sun or a star above the horizon; altitude. See Synonyms at elevation.

  3. :: noun

    The condition or attribute of being relatively or sufficiently high or tall.

  4. :: noun

    Stature, especially of the human body.

hight
  1. :: adjective

    Archaic Named or called.

Definitions from The American Heritage® Dictionary of the English Language, 4th Edition and Wordnik.

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About Homophones

Homophones (literally "same sound") are usually defined as words that share the same pronunciation, regardless of how they are spelled.

If they are spelled the same then they are also homographs (and homonyms); if they are spelled differently then they are also heterographs (literally "different writing").