Question

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?

Answer 1

Use Pythagoras Theorem to find distance OA.

Answer 2

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

Answer 3

@aum

Answer 4

\[OA=\sqrt{OB ^{2}+BA ^{2}}\]

Answer 5

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

Answer 6

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

Answer 7

The position of the plane is 216i + 76j

The magnitude of the vector is: \(\sqrt{216^2 + 76^2}\) which is the length OA.

Answer 8

Perfect. Thank you both so much!!!