The death of Amelia Earhart solved
The death of Amelia Earhart has gone down in history as one of the nation's most enduring mysteries. But it's a mystery because her body and that of navigator Fred Noonan was never discovered. Yet this is an occasion where the answer to the mystery has always been there.
Assuming this movie depiction is accurate, including the depiction of the naval personnel communicating with Amelia almost to the very end, solves the mystery.
1) It was obvious from the radio communication that Amelia was almost on top of tiny Howland Island and the vessel, Itasca. But the low-hanging thick cloud and mist cover hindered her ability to detect the extremely tiny island.
2) It wasn't Fred Noonan's fault. He was sober that morning and had guided Amelia to within 200 miles of Howland Island. Even though he was a skilled celestial navigator, he too, was hindered by the thick cloud and mist cover. Also, Fred Noonan didn't have access to radar and GPS technology that makes navigating a snap today.
3) The rumors of the Japanese capturing and executing Amelia and Fred were complete conspiracy rumor nonsense. The Japanese were no where near Howland Island. Also the naval personnel were transmitting to Amelia when she was as close as 100 miles to Howland Island. Neither did Amelia radio any spotting of Japanese vessels or aircraft.
4) Amelia's Lockheed Electra was already running low on fuel. Everyone knew that. Amelia is not responsible for the ocean crash landing of her Electra when fuel ran out. But Amelia is responsible for not surviving the crash and therefore causing the death of Fred Noonan. In the movie, Amelia is seen lightening the Electra by dumping out what she felt was unnecessary weight. One of those items was the life raft. When the Electra crash landed on the ocean, it must have sank fairly rapidly. Without a life raft and even life vests, all Amelia and Fred could do would be to clamber onto the top of the Electra, but drown as the plane sank beneath the waves. It was a sad ending for a brilliant career as Amelia's. I'm not sure if Amelia would have stopped flying as she promised. She might have been a danger thrill addict, certainly not at the beginning, but later in life as her flying became riskier. Something tells me that she would have preferred to go out at the top of her game instead of living long into old age and obscurity.