Final answer:
The United States demonstrated its interest in the Pacific by acquiring territories like Samoa, Hawaii, Guam, and the Philippines, and in Latin America with policies such as the “Good Neighbor Policy” and “Dollar Diplomacy”, as well as military interventions.
Step-by-step explanation:
The United States demonstrated its growing interest in the Pacific and Latin America through various actions in the late 19th and early 20th centuries. With an imperialistic approach, America extended its reach beyond its borders by acquiring territories and influencing political and economic changes in these regions.
One significant demonstration of its interest in the Pacific was the acquisition of Samoa, Hawaii, Guam, and the Philippines. These territories not only provided strategic military value but also economic benefits, giving the U.S. greater access to Asia, especially the wealth of China. In Latin America, through a series of interventions and policies such as the “Good Neighbor Policy” transitioning to a more interventionist approach during the Cold War and President Taft's “Dollar Diplomacy”, the U.S. vastly increased its influence and control over the region's economic and political landscapes.
Moreover, the use of 'gunboat diplomacy' as seen in the case of Cuba and the underwriting of the revolution in Panama for the canal construction exemplified America's interest and interference in the region. These actions exemplified a period wherein the U.S. embraced an imperialistic role, shaping the geopolitics of the Western Hemisphere and the Pacific region.