Airplane Velocity and Wind Direction Calculation

What direction should the plane head to end up going due east?

An airplane is flying at an airspeed of 490 km/hr in a wind blowing at 50 km/hr toward the southeast. In what direction should the plane head to end up going due east?

Direction for the plane to head to end up going due east:

To end up going due east, the plane should head west.

To determine the direction in which the plane should head to end up going due east, we need to consider the effect of the wind on the plane's velocity. We can use vector addition to solve this problem. The wind blowing toward the southeast can be broken down into its x and y components. The x component of the wind is 50 km/hr and the y component is also 50 km/hr. With an airspeed of 490 km/hr, the plane's velocity can be represented as Vx = 490 km/hr and Vy = 0 km/hr. To end up going due east, the x component of the plane's velocity should be equal to the x component of the wind.

So the plane should head in a direction opposite to the x component of the wind, which is west. Therefore, the plane should head west to end up going due east.