It turns out, flying the flag at half mast is a way of showing respect and mourning for someone or something. It's like when you wear a black armband to a sports game to show solidarity with a team that's going through a tough time. The flag is essentially doing the same thing, but on a much larger scale.
In the United States, for example, the President can order the flag to be flown at half mast to mark the death of a government official or a national tragedy. It's a way of bringing the country together and acknowledging that something significant has happened. And it's not just limited to the US - many countries around the world have their own traditions and protocols for flying the flag at half mast.