Mathematical calculation of heading
Hi,
I'm looking for a mathematical formula for calculating heading and groundspeed from TAS, track and wind. While it is easy to work out the track and groundspeed from the TAS, heading and wind using sin, cos and Pythagoras, I can't seem to scratch up enough memory of high school maths to work out the formula I'm looking for.
For example :-
TAS = 90Kts
Wind = 030/15
Track required = 060
What is the heading to be flown to achieve the track and what will the groundspeed be?
It's easy enough to put this into a flight computer and get a result, and I'm not pretending anybody should expect to fly to this level of accuracy, but the maths has currently got me stumped.
TIA
D