Answer:
347.51 meters
Explanation:
When the motorbike sounds the horn, a sound wave moves away from the motorbike, reflects off the buildings at an equal angle, and returns to the middle of the road where it is heard by the driver.
The path taken by the sound wave and the path taken by the motorbike form an isosceles triangle. The height of this triangle is half the width between the buildings. So we can use a little geometry to find the answer.
First, let's convert the motorbike's speed to m/s:
36 km/hr × (1000 m / km) × (1 hr / 3600 s) = 10 m/s
So after 1 second, the driver has moved 10 m. The sound wave moves a total distance of 347.65 m, so each leg of the triangle is half that, or 173.825 m.
Now we can use trig to find the height of the triangle:
h² + 5² = 173.825²
h = 173.753
So the distance between the buildings is:
2h = 347.506
Rounding to two decimal points, the distance between the two rows of buildings is 347.51 meters.
