SOLUTION: Starting at coordinates (3, 9), you walk a distance of 2 to the north. You turn 39 degrees to the right, and walk a distance of 13. You turn 84 degrees to the right, and walk a d

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Starting at coordinates (3, 9), you walk a distance of 2 to the north. You turn 39 degrees to the right, and walk a distance of 13. You turn 84 degrees to the right, and walk a d      Log On

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Question 1025420: Starting at coordinates (3, 9), you walk a distance of 2 to the north. You turn 39 degrees to the right, and walk a distance of 13. You turn 84 degrees to the right, and walk a distance of 16. What are your new coordinates? Round to hundredths
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
By "to the right" do you mean clockwise?
If so, let positive x be east and positive y be north.
(X%5Bf%5D,Y%5Bf%5D)=(3,9)+(0,2)+(13%2Acos%2890-39%29),13%2Asin%2890-39%29)+(16%2Acos%2890-39-84%29,16%2Asin%2890-39-84%29)
(X%5Bf%5D,Y%5Bf%5D)=(3,9)+(0,2)+(8.2,10.1)+(13.4,-8.7)
(X%5Bf%5D,Y%5Bf%5D)=(24.60,12.39)