1) To determine the distance between two aircraft, a tracking station continuously determines the distance to each aircraft and the angle between them (see figure). Determine the distance a between the planes when A = 20°,b = 40 miles and c = 18 miles.
2) To approximate the length of a marsh, a surveyor walks 260 meters from point A to point B, then turns 73° and walks 215 meters to point C (see figure). Approximate the length of AC the marsh.
3) The course for a boat race starts at point A and proceeds to point B, then to point C, and finally back to A, as shown in Figure below. Point C lies 8 kilometers directly south of point A. Approximate the total distance of the race course.
