You are going to a basketball game with your significant other. You have good seats, since you can see the game and you have the LED scoreboard...

You are going to a basketball game with your significant other. You have good seats, since you can see the game and you have the LED scoreboard directly in front of you. Upon arriving, your significant other realizes that he/she does not have their glasses. The scoreboard is 250 feet away from you, and you can assume a constant distance to look at any part of the scoreboard. Your significant other has (uncorrected) 20/30 vision. In order for him/her to be able to accurately read the current score of the game, what are the minimum a) heights, and b) widths needed for the numerals that are displayed on the scoreboard, and what is c) the minimum gap that should be between numerals for double- (or triple-) digit scores?