It's not all about grades and test scores.
While standardized test scores and the school transcript are important factors in whether or not someone receives an LOA, LOAs are also used to help West Point meet their composition goals. That doesn't just mean race and gender but also leaders, intellectuals and athletes.
At West Point, you won't be considered for a LOA until:
1) you have filled out the PCQ
2) West Point has received your 6th semester transcript and
3) SAT/ACT scores have been received by West Point