This drawing from the 1899 edition of life magazine is a satire of the imperialist philosophy philosophy known as

The correct answer is "White Man's Burden."
Life Magazine was a famous magazine at the time whose nature was anti-imperialistic. The people writing for the magazine were against imperialism and colonization, which was obvious in their 1899 edition where they mocked this philosophy, calling imperialism a white man's burden.

This drawing is known as White Man's Burden. This is from a poem by Rudyard Kipling that is centered around the Philippine American war that pushes those in the United States to take colonial control over the Philippines.