# Math Help - vectors Airplane question

1. ## vectors Airplane question

Could someone help me I no math genius but this question is driving me crazy. any help is appericated

Questions attached

2. Originally Posted by cashman
Could someone help me I no math genius but this question is driving me crazy. any help is appericated

Questions attached

working with the velocity components of the air vector, wind vector, and ground vector ...

$A_x + W_x = G_x$

$480\cos(15) + W_x = 500$

$A_y + W_y = G_y$

$480\sin(15) + W_y = 0$

solve for the two components of wind ... then you can find the wind speed and direction

wind speed = $\sqrt{W_x^2 + W_y^2}$

direction relative to east = $\arctan\left(\frac{W_y}{W_x}\right)$

3. Thanks for the help could you post a diagram of the solution. I have tried to draw it and got a different diagram each time