The engines of a plane are pushing it due north 300mph ant the wind is blowing at a rate of 40 mph, pushing the plane 20 degrees west of south. How fast is the plane going?

The plane travels at a speed of approximately 262.768 miles per hour.

Step-by-step explanation:

The absolute velocity of the plane () is the vectorial sum of vectors from engines () and wind flow (). All vectors are measured in miles per hour. That is:

(1)

Let suppose that both north and east semiaxes are positive.

If we know that and , then the resultant velocity of the plane is:

The resultant speed of the plane is determined by Pythagorean Theorem:

The plane travels at a speed of approximately 262.768 miles per hour.