Final answer:
To find the east component of the ship's velocity, multiply the ship's velocity by the cosine of the angle it is moving relative to the east direction.
Step-by-step explanation:
To find the east component of the ship's velocity, we need to find the horizontal component of the ship's velocity. This can be done using trigonometry.
The north component of the ship's velocity is given by multiplying the ship's velocity by the sine of the angle it is moving relative to the east direction. So the north component of the velocity is 12 m/s * sin(60°) = 10.3923 m/s.
The east component of the ship's velocity is given by multiplying the ship's velocity by the cosine of the angle it is moving relative to the east direction. So the east component of the velocity is 12 m/s * cos(60°) = 6 m/s.