A ship travels N27°E for 110 mi.How far directly north/south and how far directly east/west is the ship from starting point?

To determine how far the ship is directly north/south and how far it is directly east/west from the starting point, we can use trigonometry and vector decomposition.

First, let's break down the ship's journey into its north/south and east/west components. The ship is traveling N27°E, which means it is moving 27 degrees east of north.

To find the east/west component, we can use the formula: East/West = Distance Traveled * cos(Angle).

East/West = 110 mi * cos(27°)

Using a calculator, we find that the east/west component is approximately 96.05 miles.

To find the north/south component, we can use the formula: North/South = Distance Traveled * sin(Angle).

North/South = 110 mi * sin(27°)

Using a calculator, we find that the north/south component is approximately 52.43 miles.

Therefore, the ship is approximately 96.05 miles east and 52.43 miles north of its starting point.