To a cyclist X traveling at 8 km h-1 due east the wind appears to
blow from the south. Another cyclist Y travels at 16 km h-1 at
N30°W relative to X. The direction of the wind as experienced by Y
is from the west. Calculate the speed and direction of the wind.
Vectors - relative motion
The Attempt at a Solution
The problem appears slightly ambiguous in that I would assume that N30W is an absolute direction. A vector diagram might be drawn:
WX is wind velocity relative to X
XG is X velocity relative to ground
YX is Y velocity relative to X
WY is wind velocity relative to Y
The vectors could be added WG = WY+YX+XG
but, of course, no magnitude is given for WY and WX - only the direction.
I can't see how to proceed from here - help gratefully received :)