Question

A pilot flies a plane 10 000 km in a direction 30 N of W. How much farther:

a) north and
b) west has he gone from his starting point?

Answer 1

The pilot has gone 5,000 km farther north and 8,660 km farther west from his starting point.

Step-by-step explanation:

To find how much farther the pilot has gone, we need to break down the displacement into its north and west components.

The displacement can be broken down into two vectors: one that is 30 degrees north of west and one that is directly north. The north component can be found using the sine function: North = 10,000 km * sin(30) = 5,000 km. The west component can be found using the cosine function: West = 10,000 km * cos(30) = 8,660 km.

So, the pilot has gone 5,000 km farther north and 8,660 km farther west from his starting point.