SOLUTION: A plane travels at 120 mph in still air. It is headed due south in a wind of 30 mph from the northeast. What is the resultant velocity of the plane? Find the magnitude and the drif

Question 329421: A plane travels at 120 mph in still air. It is headed due south in a wind of 30 mph from the northeast. What is the resultant velocity of the plane? Find the magnitude and the drift angle. The drift angle is the angle between the intended line of flight and the true line of flight.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let's define a coordinate system where East is positive , North is positive .
Without wind, the plane would travel with velocity (,).
From the northeast to the southwest direction is degrees if the positive x axis is degrees.
The wind velocity is (,)=(,)
So the resultant velocity is (,)=(,).
The magnitude of the resultant is
mph
The tangent of the angle of the resultant is,

so then,
degrees
Since the plane should be traveling at due South ( degrees), the drift angle is
degrees West of South
RELATED QUESTIONS
You are flying a plane at 14.1 mph in the northeast direction (45 degrees) the wind is... (answered by Alan3354)

A small plane travels 200mph with the wind and 120 mph against it. Find the speed of the... (answered by checkley77)

A plane is headed due south with an airspeed of 192 mph. A wind from a direction of is... (answered by stanbon)

A plane can travel 300 mph with wind and 230 mph against wind. What is speed of the... (answered by Edwin McCravy)

the speed of an airplane in still air is 153 mph. The plane travels 849 mph against the... (answered by ptaylor)

A small plane travels 200 mph with the wind and 120 mph against it. Find the speed of the (answered by solver91311)

If a plane can fly 480 mph with the wind and 400 mph against the wind. What is the speed... (answered by KMST)

if a plane travels 490 mph with the wind and 410 mph against the wind what is the speed... (answered by Alan3354)

An airplane can cruise at 255 mph in still air. If a steady wind of 46 mph is blowing... (answered by ikleyn)