Precalc word problem, help please?

An airplane flies at an air speed of 425 mph on a heading due south. It flies against a headwind of 50 mph from a direction 30° east of south. Find the airplane's ground speed and direction.

Question

Precalc word problem, help please?

An airplane flies at an air speed of 425 mph on a heading due south. It flies against a headwind of 50 mph from a direction 30° east of south. Find the airplane's ground speed and direction.

anonymous · Answer

The answer is 382.52 mph, 3°45' west of south. I just don't know how to find this answer.

anonymous · Answer

@thomaster @myininaya @Nurali anyone?

anonymous · Answer

Well. I assume this is dealing with vectors?

anonymous · Answer

Yes

anonymous · Answer

It says that an airplane flies 425 mph south. Meaning 180 degrees from the origin, straight down. So you'd draw a line and put 425 next to it.|dw:1398631575334:dw|