a small airplane lands at a point 216 mi east and 76 mi north of the point from which it took off. How far did the airplane fly?

Question

aum · Answer

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aum · Answer

Use Pythagoras Theorem to find distance OA.

anonymous · Answer

Gaaaah I've not learned that yet!!! >.<

anonymous · Answer

@aum

anonymous · Answer

$$OA=\sqrt{OB ^{2}+BA ^{2}}$$

anonymous · Answer

Thanks! Is there any way you could teach me how to solve it using Vectors? That's what the lesson is about :P @M0j0jojo

anonymous · Answer

In retrospect, I probably should have mentioned that in the question itself... Oops...

aum · Answer

The position of the plane is 216i + 76j

The magnitude of the vector is: $\sqrt{216^2 + 76^2}$ which is the length OA.

anonymous · Answer

Perfect. Thank you both so much!!!