To find how far the ship is now due north from Port A, we need to find the north component of the ship's displacement.
The bearing of N56°E means that the ship sailed in a direction 56° east of north.
We can break down the displacement vector into its north and east components using trigonometry.
The north component is given by the formula:
north component = displacement * cos(angle)
In this case, the displacement is 85 km and the angle is 56°.
north component = 85 km * cos(56°)
Using a calculator, the north component is approximately 51.13 km.
Therefore, the ship is now approximately 51.13 km due north from Port A.
A ship sailed from a port, A, on a bearing of N56°E covering a distance of 85km to another Port B . How far is the ship now due north from Port A?
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