Your airplane leaves 20 degrees N(linear velocity= 845 nm/h) heading to a point due north at 25 degrees north (linear velocity = 815 nm/h). You set the autopilot dor due north and go to sleep. If your flight time is 30 minutes, how far off and in what direction are you if you take no corrective action?

To determine how far off and in what direction you are from your intended path when taking no corrective action, we can break down the problem into smaller steps.

Step 1: Calculate the distance traveled by the airplane during the flight time.
The linear velocity is given in nautical miles per hour (nm/h). Since the flight time is 30 minutes, we need to convert it to hours:

Flight time = 30 minutes ÷ 60 minutes/hour = 0.5 hours

Distance traveled = linear velocity × flight time

For the airplane leaving at 845 nm/h:
Distance traveled = 845 nm/h × 0.5 hours

For the airplane heading to a point due north at 815 nm/h:
Distance traveled = 815 nm/h × 0.5 hours

Step 2: Calculate the amount by which the airplane is off course.
To find the amount by which the airplane is off course, we need to determine the difference between the distances traveled by the two airplanes.

Amount off course = Distance traveled by the airplane leaving at 845 nm/h - Distance traveled by the airplane heading to a point due north at 815 nm/h

Step 3: Calculate the direction of the airplane's deviation.
To determine the direction of the airplane's deviation, we need to consider the latitude at which the airplane is flying and the direction it was initially heading.

Given that the airplane leaves at 20 degrees N and its original heading is due north, we know that any deviation will occur in an east or west direction.

To find the direction, we can calculate the angle formed between the intended path and the actual path taken by the airplane.

Step 4: Determine the direction and distance of the airplane's deviation.
Once we have the amount and direction of the airplane's deviation, we can answer the question regarding how far off and in what direction the airplane is.

Please note that to provide an accurate answer, we need to know the exact values for the distances traveled by each airplane.