When you read the initial question, regardless of how well intended, you have to realize it is an ill concieved question in the first place.
R1830 tried to answer with a proper response and got shot down for not answering the question.
The question is bogus to start with.
Putting the wind on your tail will always give you more choices of where to put it down.
The first poster had the most correct answer. Who cares? Find the best place and set her down, be it crosswind, upwind or downwind.
Brian, we don't get to pick what altitude our engine quits at, so R1830's answer about what to do "AT THAT MOMENT" is a logical one.
Unless there is more information about alternates, flying into a headwind is generally not ecouraged in these "hypothetical" situations. Why does the question state fly with a headwind at 15k? Can you not fly with the tailwind component for some reason? (say you are over the coast - the wind direction doesn't matter, don't fly out to sea!)
BTW, make sure your mask is on at 15000 feet!
The poster brought up a lot of good brain power trying to answer the question, which is always good discussion. But let's not lose site of the basics and get wrapped up in the math.
!. Don't panic.
2. Fly the plane.
3. Take the time to make a proper descision
4. Stick with that descision and don't change it unless it becomes obvious that it was the wrong one.
Let's hope it doesn't happen to you.
Flay safe, have fun, and think up more appropriate questions.