Problem

A standard football field is 100 yards long and yards wide. The quarterback, who is stand...

A standard football field is 100 yards long and yards wide. The quarterback, who is standing on the 10-yard line, 20 yards from the left sideline, throws the ball to a receiver who is on the 45-yard line, 5 yards from the right sideline, as shown in the figure.

(a) How long was the pass? [Hint: Place the field in the first quadrant of the coordinate plane, with the left sideline on the y-axis and the goal line on the x-axis. What are the coordinates of the quarterback and the receiver?]


(b) A player is standing halfway between the quarterback and the receiver. What are his coordinates?

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