To determine the distance to the cliff, we need to consider the time it takes for the sound to travel back to the hunter after being echoed from the cliff.
Let's break down the timeline of events:
- The hunter shoots a rifle.
- The sound from the rifle travels to the cliff.
- The sound reflects off the cliff and travels back to the hunter.
We know that the time it takes for the hunter to hear the sound of the rifle and the echo is 6 seconds in total. Since sound travels at approximately 343 meters per second in dry air at 20 degrees Celsius, we can divide the total time by 2 to find the time it takes for the sound to travel to the cliff and back:
Time for sound to travel to the cliff = 6 seconds / 2 = 3 seconds
Now we can calculate the distance to the cliff using the speed of sound:
Distance = Speed × Time Distance = 343 m/s × 3 s Distance = 1029 meters
Therefore, the cliff is approximately 1029 meters away from the hunter.