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
[tex]v=\frac{d}{t}[/tex]
Where,
V= Velocity
d= distance
t = time
Re-arrange the equation to find the distance we have,
d=vt
Replacing with our values
[tex]d= (343)(3.7)[/tex]
[tex]d= 1269.1m[/tex]
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
[tex]L_{lake} = \frac{d}{2}[/tex]
[tex]L_{lake} = \frac{1269.1}{2}[/tex]
[tex]L_{lake} = 634.55m[/tex]
Therefore the length of the lake is 634,55m
