How Do I Find the Location of City C Relative to the Starting Point?

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To determine the location of city C relative to the starting point, break down each leg of the flight into x and y components using trigonometry. The first flight to city A is 227.5 km at 30.0° north of east, while the second leg to city B is 195 km at 20.0° west of north. The final leg to city C is 247 km due west. Add the components of each flight to find the resultant distance and angle from the starting point. This method will provide the necessary distance and direction to city C.
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A commuter airplane starts from an airport and takes the route shown in Figure P3.17. It first flies to city A located at 227.5 km in a direction 30.0° north of east. Next, it flies 195 km 20.0° west of north to city B. Finally, it flies 247 km due west to city C. Find the location of city C relative to the location of the starting point.

A) km (distance from the starting point)
B) ° west of north (angle from the starting point)
sf_route.gif


I'm not asking for people to do it for me, just show me where to start -- I don't really understand how to do it.. The teacher didn't really help me.
 
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Start by breaking down each vector into components. Because each of the angles are known, you should be able to break it down in x and y... Make sure to keep the sign straight (West is -x direction, South is -y direction etc...)
 
Ok. Thanks.
 
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Use trig to work out the horizontal and vertical distance moved in each flight between cities.
Then just add them up into a resultant value, remembering to watch out for different directions.
 
Got it :) Thanks guys.
 

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