Question

A pilot wants to fly 430 miles per hour at 45 degrees north of east, but there is a westerly wind blowing 20 miles per hour. What course correction does the pilot have to make to fly on his desired landing?

I wasn't able to figure out any work for this problem could you maybe point me in the right direction?

Answer 1

change the vectors to x-y components

430 at E45°N = <304,304>
westerly wind is <20,0>
so, you want x,y such that
<20,0> + <x,y> = <304,304>

<x,y> = <284,304> = 416 at E47°N