Final answer:
The ideas of Theodore Roosevelt and Woodrow Wilson provided hope for the challenges of 1900, focusing on environmental conservation, social reforms, and the role of the United States in a rapidly changing world.
Step-by-step explanation:
Addressing historical challenges and conceptualizing solutions is a cornerstone of historical inquiry. As an example, in 1900, Theodore Roosevelt's ideas on environmental conservation and social reforms offered a beacon of hope for the pressing issues of the time.
Roosevelt believed in the judicious use of natural resources, advocated for the establishment of national parks, and pursued anti-trust actions to break up monopolies, thereby potentially alleviating economic disparity.
Conversely, Woodrow Wilson's vision of American progressivism wrapped in a call for national and global responsibility held hopes for a different set of problems. His call for Americans to be "men of their Nation as well as of their time," resonates with the complexities of a modernizing society facing rapid technological and cultural shifts.
The solutions posited by Roosevelt and Wilson each aimed to guide the United States through the turbulence of the new century, often focusing on creating frameworks for environmental sustainability, economic equity, and international leadership.