Question

While standing on the edge of the grand canyon, you see a rattlesnake and scream. You hear the echo of the scream off canyon floor 11.2 seconds later. How deep is the canyon?

Answer 1

1904 m

Step-by-step explanation:

`\pink{\frak{Given}}\begin{cases} \textsf{ You scream after seeing a rattle snake .}\\\textsf{Scream is heard after 11.2 s .} \end{cases}`

Here we need to find out the depth of the canyon . When you will scream after seeing a snake , the sound produced will travel till the end of the canyon and after hitting the end , it will travel back to you .

• So if the depth of the canyon is d (say) , then the total distance travelled by the sound wave will be d + d = 2d .

And we know that the speed of the sound is approximately 340m/s in air , so we can use the formula distance = speed * time to calculate the depth of the canyon . So ,

`\sf \longrightarrow Distance = (Speed)(Time) \\`

`\sf \longrightarrow 2d = 340m/s * 11.2 s\\`

`\sf \longrightarrow d = (340m/s * 11.2s)/(2) \\`

`\sf \longrightarrow \boxed{\bf Depth_(canyon)= 1904m }\\`