Final answer:
The importance of President Roosevelt's mission for the NACA is exemplified by the formation of impactful programs like the NIRA and PWA, which focused on job creation and economic restoration through large-scale public works, including crucial defense projects.
Step-by-step explanation:
The detail from the selection that best reveals how important the mission President Roosevelt gave the National Advisory Committee for Aeronautics (NACA) was can be seen in the establishment of significant New Deal programs, such as the National Industrial Recovery Act (NIRA) and its creation of the Public Works Administration (PWA). The PWA played a pivotal role in the New Deal's success by not only providing public employment but also pursuing economic recovery through ambitious infrastructure projects, securing both relief and economic planning. Particularly, the construction of the aircraft carriers Enterprise and Yorktown showcased Roosevelt's foresight in strengthening the nation's defense capabilities, which would later prove crucial during World War II.