Math
posted by Connor .
A standard football field is 100 yards long and 53 1/3 yards wide. A quarterback is standing on the 25 yard line, 25 yards from the left sideline, throws the ball to a receiver who is on the 35 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 yaxis and the goal line behind the quarterback on the xaxis. What are the coordinates of the quarterback and the receiver?] (Round your answer to one decimal place.)
(b) A player is standing halfway between the quarterback and the receiver. What are his coordinates? (Round each answer to one decimal place.:

The receiver is 10 yd downfield and 53 1/3  25  5 = 23 1/3 yds to the right.
So, the distance is clearly
√(10^2 + (70/3)^2) yds
QB: (25,25)
Rcvr: (35,48 1/3)
So, take their averages to find the midpoint.
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