Step-by-step explanation:
To find the horizontal (eastward) component of the plane's velocity, we need to determine the component of the velocity in the eastward direction.
Given:
Velocity magnitude: 185 km/hr
Angle north of east: 36 degrees
To calculate the eastward component, we can use trigonometric functions. The eastward component can be found by multiplying the velocity magnitude by the cosine of the angle.
Eastward component = Velocity magnitude * cos(angle)
Eastward component = 185 km/hr * cos(36 degrees)
Using a calculator or trigonometric table, we find that cos(36 degrees) is approximately 0.809.
Eastward component ≈ 185 km/hr * 0.809
Eastward component ≈ 149.965 km/hr
Therefore, the horizontal (eastward) component of the plane's velocity is approximately 149.965 km/hr.