SOLUTION: A ship travels 50 km on a bearing of 27 deg, then traveles on a bearing of 117 deg for 140 km. Find the distance traveled from the starting point to the ending point. ashley917

Question 45422: A ship travels 50 km on a bearing of 27 deg, then traveles on a bearing of 117 deg for 140 km. Find the distance traveled from the starting point to the ending point.
ashley917@netzero.net
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A ship travels 50 km on a bearing of 27 deg, then traveles on a bearing of 117 deg for 140 km. Find the distance traveled from the starting point to the ending point.
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The x-coordinate of the final point is 50cos(27)+140cos(117)=-19
The y-coordinate of the final point is 50sin(27)+140sin(117)=23.67
distance from (0,0) to the final point is as follows:
d=sqrt((-19)^2+(23.6)^2)
=sqrt(921.27)
=30.35 km
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Cheers,
Stan H.
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