Final answer:
Bobby rode along a rectangular path resulting in a 30 meters North and 25 meters West travel. Using the Pythagorean theorem, the straight-line distance between his home and school is found to be approximately 39 meters.
Step-by-step explanation:
The question requires us to find the distance between Bobby's home and school after he travels in a rectangular path. Bobby rode his bike 40 meters North, then 25 meters West, and finally 10 meters South.
To find the straight-line distance (the hypotenuse of the resulting right-angled triangle), we need to calculate the two sides of the triangle. The total distance he traveled north-south is 40 meters - 10 meters = 30 meters north. The distance he traveled east-west remains 25 meters west. We use the Pythagorean theorem to find the hypotenuse:
- Distancenorth-south2 + Distanceeast-west2 = Hypotenuse2
- 302 + 252 = Hypotenuse2
- 900 + 625 = Hypotenuse2
- 1525 = Hypotenuse2
- Hypotenuse = √1525
- Hypotenuse ≈ 39 meters
Therefore, Bobby's school is approximately 39 meters away from his house.