Calculating the Eastward Velocity Component of an Airplane

To find the eastward component of the plane's velocity, we need to determine the vector's eastward and northward components.

The given information tells us that the plane is flying at a velocity of 750 km/h, 30.0 degrees south of east. This means that the angle between the velocity vector and the east direction is 30.0 degrees.

To determine the eastward component, we can use trigonometry. We can use the cosine function because the cosine of an angle gives the ratio of the adjacent side to the hypotenuse.

The eastward component is given by:

Eastward component = Velocity * Cosine(angle)

Eastward component = 750 km/h * Cosine(30.0 degrees)

Using a calculator, we find:

Eastward component ≈ 750 km/h * 0.866

Eastward component ≈ 649.5 km/h

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