Direction of a Plane Traveling on a Straight Line Path

In what direction did the plane fly on the straight line path?

The plane flew approximately 24.6 degrees north of east on the straight line path.

When a plane takes off and ends up 220 km farther east and 100.0 km farther north, relative to where it started, the direction it flew can be calculated using vectors and trigonometry. By considering the eastward displacement as positive and the northward displacement as positive, we can determine the direction the plane flew.

Using vector addition, we can find the resultant displacement of the plane. This can be done by using the Pythagorean theorem to calculate the magnitude of the resultant displacement, which is approximately 237.8 km. To find the direction, we can then use the inverse tangent function to calculate the angle, which is approximately 24.6 degrees north of east.

Therefore, the plane flew approximately 24.6 degrees north of east on the straight line path. This calculation helps us understand the plane's direction and how it traveled from its starting point to its end point.