If you shout into the grand canyon your voice travles at the speed of sound 34ms to the bottom how deep is the grand canyon at a spot where you can hear your echo 5.2 seconds after you shout?

To find the depth of the Grand Canyon, we first need to consider that the sound travels to the bottom and back up, taking a total of 5.2 seconds for the echo. Since the sound travels to the bottom and back, the time taken for the sound to reach the bottom is half of 5.2 seconds, which is 2.6 seconds. The speed of sound is approximately 34 meters per second, so the depth can be calculated as: Depth = Speed × Time = 34 m/s × 2.6 s = 88.4 meters. Therefore, the Grand Canyon at that spot is approximately 88.4 meters deep.