# Adding Vectors. Help starting?

1. Oct 17, 2006

### Kildars

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)

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.

2. Oct 17, 2006

### kcirick

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...)

3. Oct 17, 2006

### Kildars

Ok. Thanks.

Last edited: Oct 17, 2006
4. Oct 17, 2006

### Fermat

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.

5. Oct 17, 2006

### Kildars

Got it :) Thanks guys.

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