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**1. The problem statement, all variables and given/known data**

in a game of football, a player takes the ball from the line of scrimmage, runs backward a distance of 10 yards, and then runs sideways parallel to the line of scrimmage for 15 yards. at this point, he throws a forward pass 50 yards straight downfield perpendicular to the line of scrimmage. what is the magnitude of the football's resultant displacement?

**2. Relevant equations**

a

^{2}+n

^{2}= c

^{2}

**3. The attempt at a solution**

I drew a diagram and got 40

^{2}+15

^{2}and did that out to get the answer as 42.7 yards. did i do this right?