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## Homework Statement

A small plane departs from point A heading for an airport 490 km due north at point B. The airspeed of the plane is 210 km/h and there is a steady wind of 50 km/h blowing directly toward the southeast.

(a) Determine the proper heading for the plane.

° west of north

(b) How long will the flight take?

h

## Homework Equations

Law of Sines/Cosines?

v

_{f}= v

_{i}+ a*t

## The Attempt at a Solution

So I drew a picture.

You need a velocity vector. This vector must be the sum of the velocity vectors of the wind and the plane, which should also be drawn on the sketch. So I drew a simple sketch showing the plane's northward trek, an angle [tex]\Theta[/tex], another vector showing the wind and the resulting vector. So:

The first vector points due North (up), from point A.

The wind vector points toward point A, at an angle [tex]\Theta[/tex].

The resultant vector points from point B to the non-pointed end of the wind vector.

...so where in the world does the trig come in? I just don't know where to start plugging in numbers, since this isn't a right triangle it isn't a simple sin/cos problem with the Pythag. Theorem, right?