Ahiker 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 3.7s\; s after shouting. the speed of sound in air is 343 m/s\rm m/s. determine the length of the lake. express your answer to two significant figures and include the appropriate units.

To solve the exercise it is necessary to take into account the definition of speed as a function of distance and time, and the speed of air in the sound, as well

Where,

V= Velocity

d= distance

t = time

Re-arrange the equation to find the distance we have,

d=vt

Replacing with our values

It is understood that the sound comes and goes across the entire lake therefore, the length of the lake is half the distance found, that is

Therefore the length of the lake is 634,55m