When was Adolf Hitler appointed as Chancellor of Germany?

The story behind the answer

January 30, 1933 is correct because President Paul von Hindenburg appointed Adolf Hitler Chancellor of Germany on that day. Conservative elites believed they could control him, but the chancellorship gave Hitler the legal foothold to dismantle the Weimar Republic and build a dictatorship.

Context helps sort the dates: February 27, 1933 was the Reichstag Fire, which Hitler used to push the Reichstag Fire Decree and suspend civil liberties; September 1, 1939 marks Germany’s invasion of Poland and the start of World War II; October 6, 1939 coincides with the end of the Polish campaign. Remember it this way: first the office (1/30/33), then the fire