Answer to Question #25534 in Trigonometry for kenneth
A boat is headed at 115° and is traveling downstream at 28 mph. The stream is flowing S38°E at 11 mph. In what direction is the boat traveling? At what rate can it travel in still water?
Let& the initial Vicky position be A = (0km north, 0km east). Then her final position is
B = (-5km north, (8 - 6)km east) = (-5km north, 2km east).
According to the Pythagorean theorem, her final displacement is
D = AB = √((0-(-5))² + (0-2)²) = √29 km.