Question

A ship is traveling around the outside rim of an island surveying a good place to land. If it is 10 miles from a lighthouse at the center of the island and 45° from due north, how far has the ship traveled from the most northern tip of the island to the nearest tenth?

Answer 1

The radius of the circle is 10.

Find the arc length NA assuming the ship is traveling counter clockwise.

(We can also calculate arc length NA assuming the ship is traveling clockwise. The problem does not make it clear. But we can assume they probably want the longer arc length.)