Question

An airplane is heading north at an airspeed of 1000 km/hr, but there is a wind blowing from the southwest at 60 km/hr. How many degrees off course will the plane end up flying?

Answer 1

To find out how many degrees off course the plane will end up flying, we need to determine the angle between the plane's heading and its actual path due to the wind.

Step-by-step explanation:

To find out how many degrees off course the plane will end up flying, we need to determine the angle between the plane's heading and its actual path due to the wind. This can be done using vector addition. Let's break it down:

1. First, we need to find the resulting velocity vector of the plane with respect to the ground. It can be obtained by subtracting the velocity vector of the wind from the airspeed vector of the plane.
2. Next, we can use trigonometry to find the angle between the plane's heading (north) and its resultant velocity vector.

By following these steps, we can calculate the angle in degrees and determine how many degrees off course the plane will fly.