SOLUTION: a runner runs 5 miles, then turns 65 degree to the left and runs 5 more miles. what is the runners total distance traveled? what is the total displace?

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Question 927154: a runner runs 5 miles, then turns 65 degree to the left and runs 5 more miles. what is the runners total distance traveled? what is the total displace?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a runner runs 5 miles, then turns 65 degree to the left and runs 5 more miles. what is the runners total distance traveled? what is the total displace?
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Start Point:: (0,0)
End Point:: (x,y)
Total x displacement:: 5 + 5cos(65 degrees) = 7.11 miles
Total y displacement:: 0 + 5sin(65 degrees) = 4.53 miles
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Total distance traveled :: 10 miles
Total displacement = sqrt[4.53^2 + 7.11^2] = 8.43 miles
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Cheers,
Stan H.
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