# One more vector problem

An air plane is heading due north at a speed of 300km/hr. If a wind begins blowing from the southwest at a speed of 50.0 km/hr.
a) the resultant velocity of the plane
b) how far off course will the plane be after 30 min if the pilot takes corrective action

I have for the resulant = 295 km/hr I got it by using the triangle formula A^2+B^2=C^2

but on part B not sure how to go about it or even if part a is correct

HallsofIvy
Homework Helper
Why would A^2+B^2=C^2?

Yes, I know that's the Pythagorean theorem but that only applies to RIGHT triangles. If you draw a picture you have a triangle with one side (north) of length 300, another at 45 degrees (east of north) of length 50 and the unknown side connecting the two. In other words, you have a triangle with sides of length 300 and 50 and with angle between those two sides of 180-45= 135 degrees. That is definitely NOT a right triangle!

If you have had the COSINE LAW, this looks like a good candidate. Look that up and try it.

HallsofIvy