physics
posted by CLaire on .
The velocity of an airplane with respect to the ground is 200 m/s at an angle of 30 degrees NORTH of EAST. The velocity of the airplane with respect to the air is 150 m/s at an angle of 60 degrees NORTH of EAST. What is the velocity of the air with respect to the ground?

Wind speed vector + Air speed vector = Ground speed vector
Perform the vector subtraction.
Wind speed = Ground speed  Air speed
North component of wind speed
= 200 sin30 150 sin60 = ?
East component of wind speed
= 200 cos30 150 cos60 = ? 
yep and then you do the sqrt( 29.9^2 +98.2^2) to get the velocity