The words chute, shoot sound the same but have different meanings and spellings. Why do chute, shoot sound the same even though they are completely different words?
The answer is simple: chute, shoot are homophones of the English language.
An inclined trough, passage, or channel through or down which things may pass.
A waterfall or rapid.
To convey or deposit by a chute.
To hit, wound, or kill with a missile fired from a weapon.
To remove or destroy by firing or projecting a missile: shot out the window.
To make (a hole, for example) by firing a weapon.
To fire or let fly (a missile) from a weapon.
Definitions from The American Heritage® Dictionary of the English Language, 4th Edition and Wordnik.
Homophones (literally "same sound") are usually defined as words that share the same pronunciation, regardless of how they are spelled.