A sailboat leaves a harbor and sails 1.8 km in the direction 65° south of east, where the captain stops for lunch. A short time later, the boat sails 1.1 km in the direction 15° north of east. What is the magnitude of the resultant displacement from the harbor?
A)2.3 km
B)1.5 km
C)2.9 km
D)1.2 km
E)0.59 km

Question

Quizplus · Accepted Answer

To find the resultant displacement, we need to break each leg of the journey into its east and north components, sum these components, and then use the Pythagorean theorem. The resultant displacement is approximately 2.3 km.

A Sailboat Leaves a Harbor and Sails 1