In what year was the Navy established?

The Navy was established in 1775, making this the correct answer. This was a crucial year during the American Revolutionary War when the Continental Congress recognized the need for naval forces to support its quest for independence. The establishment of the Continental Navy on October 13, 1775, marked the formal creation of a naval service that aimed to combat British naval power at sea. This action laid the foundation for what would later become the United States Navy.

The other years mentioned are significant in the context of U.S. history but do not correspond to the formal establishment of the Navy. For instance, 1776 is notable for the Declaration of Independence, while 1783 marks the end of the Revolutionary War with the signing of the Treaty of Paris. The year 1789 is significant because it saw the establishment of the new federal government under the U.S. Constitution, which later organized and solidified the Navy within the framework of the United States government.