Final answer:
The final displacement of the sparrow from its starting point is approximately 35 km south and 52 km west.
Step-by-step explanation:
To find the final displacement, we need to calculate the north and west components of the sparrow's motion.
First, we need to find the north component of the sparrow's motion. Since the bearing is 042°, the angle between the bearing and north is 90° - 42° = 48°.
Using trigonometry, we can find the north component by multiplying the distance (26 km) by the sine of the angle: North component = 26 km * sin(48°).
Next, we need to find the west component of the sparrow's motion. Since the sparrow flies due south for 49 km, the west component is 0 km.
Therefore, the final displacement from the starting point is the combination of the north and west components. The final displacement is approximately 35 km south and 52 km west.