What heading should the pilot take in order to reach his destination?

[Draggu]

Homework Statement

A pilot wishes to fly from his home field to a detination 625km S20degE. The cruising speed of the aircraft is 535km/h. If there is a wind of 72km/h blowing from N80degW,

a) what heading should the pilot take in order to reach his destination?
b) how long will the flight take

Attached is an image of what is most likely the wrong diagram.

Homework Equations

The Attempt at a Solution

 

[LowlyPion]

Without seeing your diagram as yet, you should be able to solve the resultant by breaking the plane and wind into their x,y components and performing the required operation.

In this case just add the Destination vector to the negative of the Wind vector. (This arises from the Destination vector being the Sum of the Wind and Plane vectors.)