To calculate the time it takes for the hiker to hear her echo, we need to consider the time it takes for the sound to travel to the cliff and then back to the hiker.
Time for sound to reach the cliff:
Distance
=
Speed
×
Time
Distance=Speed×Time
Time
=
Distance
Speed
Time=
Speed
Distance
Time
=
400m
330
m/s
Time=
330m/s
400m
Time
≈
1.212
Time≈1.212 seconds
Time for echo to return: The sound travels back the same distance, so it takes the same amount of time.
So, the total time it takes for the hiker to hear her echo is approximately
2
×
1.212
2×1.212 seconds, which is about 2.424 seconds.