Calculate Eastward Velocity Component of Airplane

To find the magnitude of the eastward component of the plane's velocity, we need to find the horizontal component of the velocity.

Given that the plane is flying 30.0 degrees south of east, we can use trigonometry to find the horizontal component.

The horizontal component can be found using the cosine function:

horizontal component = velocity * cos(angle)

horizontal component = 750 km/h * cos(30.0 degrees)

Using a calculator, we find:

horizontal component ≈ 750 km/h * 0.866

horizontal component ≈ 649.5 km/h

Therefore, the magnitude of the eastward component of the plane's velocity is approximately 649.5 km/h.