Question

Plane flies from base camp to lake A, a distance of 210 km at a direction of 20.0° north of east. After dropping off supplies it flies to lake B, which is 210 km and 30.0° west of north from lake A. Graphically determine the distance and direction from lake B to the base camp.

a) Distance ______ km
b) Direction ______° south of west

Answer 1

a) Distance 310 km

b) Direction 57° south of west

Step-by-step explanation:

For more information check the vector drawn below. The angle should be reversed because the plane is flying from B back to the base. In other words the vector is opposite to the red R and thus the direction is south of west instead of north of east.