Final answer:
Amelia Earhart's credibility as an aviator developed through her record-breaking flights, particularly her solo Atlantic crossing in 1932 and other aviation milestones, as well as her public engagements such as writing, lectures, and editorial work.
Step-by-step explanation:
Amelia Earhart's credibility as an aviator developed significantly over time through a series of groundbreaking flights and public engagements. Initially, Earhart gained attention by being the first woman to fly across the Atlantic, not as a pilot but as a passenger in 1928, which nonetheless thrust her into the public eye. However, it was her subsequent solo Atlantic crossing in 1932 that truly established her as a formidable pilot and cemented her status as a pioneer in aviation. This accomplishment, along with her numerous other flights where she set records, such as being the first person to fly solo from Hawaii to the U.S. mainland, significantly boosted her public perception and professional standing among aviators. Beyond her flying records, Earhart's active engagement with the public, through her books, lectures, and role as an aviation editor for Cosmopolitan magazine, helped to maintain and grow her reputation up until her mysterious disappearance in 1937 during an attempt to circumnavigate the globe.