Question

1.!(1)!A!hiker!determines!the!length!of!a!lake!by!listening for!the!echo!of!her!shout!reflected!by!a! cliff!at!the!far!end of!the!lake.!She!hears!the!echo!2.0!s!after!shouting.!Estimate the!length!of!the! lake.

Answer 1

The length of the lake is 340 meters.

Step-by-step explanation:

It is given that, a hiker determines the length of a lake by listening for the echo of her shout reflected by a cliff at the far end of the lake. She hears the echo 2 s after shouting. We need to find the length of the lake.

The distance covered by the person in 2 s is :

`d=vt`

v is the speed of sound

`d=340\ m/s* 2\ s`

`d=680\ m`

The length of the lake is given by :

`l=(d)/(2)`

`l=(680\ m)/(2)`

l = 340 meters

So, the length of the lake is 340 meters. Hence, this is the required solution.