math/Right triangle trig
posted by Anonymous .
Your favorite team is attempting a field goal. The ball is kicked at an angle of 45 degrees with the field. The ball covers a horizontal distance of 85 inches before the kick is blocked. What is the minimum height the opposing team's player can be to block the kick?
In a 45-45-90 triangle, the height is the same as the width.
So, the opponent cannot be over 85 inches tall. No problem; that's 7'1". That's if he plans on blocking the kick with his head . . .
Of course, what it really means is that the opponent cannot reach any higher than 85". Someone in the 6' height range can usually reach up to about 96 inches high.
So, our player needs to be somewhat shorter: about 65" or so.
And, that's assuming he isn't going to try and jump up to block the kick.