BASIC VECTOR QUESTION:
The pilot of an airplane that flies at 800 km/h wishes to travel to a city 800 km due east. There is a 80 km/h wind from the north east. What should the plane's heading be?

Question

BASIC VECTOR QUESTION:
The pilot of an airplane that flies at 800 km/h wishes to travel to a city 800 km due east. There is a 80 km/h wind from the north east. What should the plane's heading be?

kainui · Answer

Draw a picture, and make your best guess.

anonymous · Answer

i did, five me a sec.

kainui · Answer

Sure! =)

anonymous · Answer

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i assume that resultant velocity will be in the east since the pilot "WISHES" to fly in east..
then velocity of the wind is "FROM" north east..
so i calculated for $ \alpha$ using sine law
then i calculated the $\theta = 180-135-4.05=40.9 $, which is the plane's direction, but it's not the right answer

then i have another solution which i get the right answer but it doesn't make sense:/
in my second solution i assume that 800km/h is the velocity of the plane without any wind affecting it