Vector problem think i have it but just wanted to check

[BeckyStar678]

Homework Statement

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?

Homework Equations

a²+n²= c²

The Attempt at a Solution

I drew a diagram and got 40²+15² and did that out to get the answer as 42.7 yards. did i do this right?

 

[edziura]

Yes, assuming the question means displacement fro the football's starting point.

 

[Quincy]

42.7 yards is correct.