While the exact location isn't explicitly stated, several clues throughout the book point to this area:
* The journey: Percy and Annabeth travel from New York City to Long Island.
* The beach: Camp Half-Blood is described as being on a beach, which aligns with the geography of Long Island.
* The setting: The book mentions that the camp is in the "middle of nowhere," which further supports the idea of a secluded location on Long Island.
Later in the series, Rick Riordan confirms that Camp Half-Blood is on Long Island, specifically near Montauk.