e.g. An Airplane is traveling at a fixed altitude with a negligible
wind factor. The airplane is headed N 30o W at a speed of
500 miles per hour. As the airplane reaches a certain point, it
encounters a wind with a velocity of 70 miles per hour in the
direction N 45o E. What are the resultant speed and direction
of the airplane?

e.g. Find the four complex roots of unity
and plot them.

Question

e.g.  An Airplane is traveling at a fixed altitude with a negligible 
       wind factor.  The airplane is headed N 30o W at a speed of
       500 miles per hour.  As the airplane reaches a certain point, it
       encounters a wind with a velocity of 70 miles per hour in the
       direction N 45o E.  What are the resultant speed and direction
       of the airplane?


e.g.   Find the four complex roots of unity
         and plot them.

anonymous · Answer

plot your two vectors
split them up into components add both North and subtract east and west and then you add both vectors by doing c^2=sqrt(a^2+b^2)
get it :)?

anonymous · Answer

The question cannot be answered without knowing the mass of the aircraft and the side surface area of the aircraft.

anonymous · Answer

Mythias I am with you, could you show your answer on the cartesian plan for comparison?