Answer to Question #25534 in Trigonometry for kenneth

Question

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?

Answer 1

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.