Calculate Eastward Velocity Component of an Airplane

To find the magnitude of the eastward component of the velocity, we need to find the component of the velocity in the eastward direction.

The eastward component can be found using trigonometry as follows:

Eastward component = Velocity * cos(angle)

In this case, the velocity is 750 km/h and the angle is 30 degrees south of east.

First, we need to find the angle between the eastward direction and the direction of the airplane's velocity. Since the airplane is flying 30 degrees south of east, the angle between the eastward direction and the airplane's velocity is 90 degrees - 30 degrees = 60 degrees.

Using the formula for the eastward component, we have:

Eastward component = 750 km/h * cos(60 degrees)

cos(60 degrees) = 0.5

Eastward component = 750 km/h * 0.5

Eastward component = 375 km/h

Therefore, the magnitude of the eastward component of the plane's velocity is 375 km/h.