Answer:
The length of the lake is 340 meters.
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 :
[tex]d=vt[/tex]
v is the speed of sound
[tex]d=340\ m/s\times 2\ s[/tex]
[tex]d=680\ m[/tex]
The length of the lake is given by :
[tex]l=\dfrac{d}{2}[/tex]
[tex]l=\dfrac{680\ m}{2}[/tex]
l = 340 meters
So, the length of the lake is 340 meters. Hence, this is the required solution.
