Question 316091
resolving the airspeed and ground speed into their x and y components will allow you to find the wind speed components


remember to convert the compass heading to degrees on the unit circle


Ax = 165 * cos(240º) = -82.5


Ay = 165 * sin(240º) = -142.89 (approx)


Gx = 178 * cos(238º) = -94.33 (approx)


Gy = 178 * sin(238º) = -150.95 (approx)


Wx = Gx - Ax = -11.83


Wy = Gy - Ay = -8.06


W = sqrt(Wx^2 + Wy^2) = 14.31 (approx)


Θ = tan^-1(Wy / Wx) = 214.27º (approx)


the heading of the wind is 235.73º (approx)