Hint Number 1: Look for "short" columns or columns with duplicate letters.
For instance, looking at the fifth column, you notice that the letter "E" is repeated twice, with no other letter. We can safely assume that "E" can be placed in the two boxes below. Let's start with those letters. Don't forget to mark the letters off in the Letter's Column once you make them "fall" into the Answer Grid.
This will now help with trying to put together words.