The correct spelling for the phrase "study at cruel" is actually "studia cruel." The first word, "studia," is the plural form of the verb "studium," which means "study" in Latin. The second word, "cruel," is an English adjective that is pronounced with two syllables, /ˈkru.əl/, with the stress on the first syllable. The spelling may be confusing, but the correct pronunciation is essential for effective communication. So, make sure to practice your IPA phonetic transcriptions to avoid any misunderstandings.