Question

A plane is flying at 168 miles per hour with a heading of 43.5° from due north. The wind is blowing a constant 33 miles per hour at 133.5° from due north. Find the ground speed and true course of the plane.

Answer 1

168 @ 43.5° = <115.6,121.9>
33 @ 133.5° = <23.94,-22.72>

add up the x- and y-components and the resultant velocity is

<139.54,99.18> = 171.20 @ 54.6°

Answer 2

45