Final answer:
The correct answer is option 1. The impact of President Teddy Roosevelt's actions in Panama was that the United States gained control over the Panama Canal, greatly increasing the power of the US Navy and shortening the distance of travel between New York and San Francisco.
Step-by-step explanation:
The impact of President Teddy Roosevelt's actions in Panama was that the United States gained control over the Panama Canal. Roosevelt negotiated a lease on the land across Panama from Colombia, but when the Colombian Senate rejected the treaty, Roosevelt supported the Panamanian revolution and recognized Panama as a new country. The United States then negotiated the Hay-Bunau-Varilla Treaty, which granted them control over a 10 mile-wide canal zone in Panama.
This accomplishment greatly increased the power of the US Navy and shortened the distance of travel from New York to San Francisco by several thousand miles.