Answer: 330 m
Explanation:
The speed of sound [tex]V[/tex] is defined as the distance traveled by the sound wave [tex]d[/tex] in a especific time [tex]t[/tex]:
[tex]V=\frac{d}{t}[/tex]
Where:
[tex]V=330 m/s[/tex] is the speed of sound
[tex]t=\frac{2 s}{2}=1 s[/tex] is half the time the sound wave travels since the person speaks, the sound wave hits the hill and then returns to the person again as an echo
[tex]d[/tex] is the distance between the person and the hill
So, we have to find [tex]d[/tex]:
[tex]d=Vt[/tex]
[tex]d=(330 m/s)(1 s)[/tex]
Finally:
[tex]d=330 m[/tex]