Adding Up The Vectors Graphically or Component-ly

So this week we learned about adding vectors graphically and using the component method (Bureku technique). This is a picture of me flying above Kailua (the Mokuluas are in the background). And NO, it's not Photoshopped. Pinky promise.

So if I am flying 300m north, then 400m east, how can I find the resulting vector? I can find it using the graphical method: creating a scale (100m=1cm in a drawing, etc) and drawing and measuring my distance, then creating a separate resulting vector that happens to be my HYPOTENUSE of the two original vectors. Then, I can measure the resulting vector and convert it. (I would get 500m, by the way.) Or you could use the component method, which involves going in and taking the sin and cos of the resulting triangle in order to solve for the hypotenuse.

But either way, it doesn't change the fact that I am FLYING! :) Yay...