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?
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.