Answer: 49.5 m
Explanation:
The speed of sound [tex]s[/tex] is given by a relation between the distance [tex]d[/tex] and the time [tex]t[/tex]:
[tex]s=\frac{d}{t}[/tex] (1)
Where:
[tex]s=330 m/s[/tex] is the speed of sound in air (taking into account this value may vary according to the medium the sound wave travels)
[tex]d=412.5 m-x[/tex] since we are told th hunter was initially 412.5 meters from the cliff and then moves a distance [tex]x[/tex] towards the cliff
[tex]t=\frac{2.2 s}{2}=1.1 s[/tex] Since the time given as data (2.2 s) is the time it takes to the sound wave to travel from the hunter's gun and then go back to the position where the hunter is after being reflected by the cliff
Having this information clarified, let's isolate [tex]d[/tex] and then find [tex]x[/tex]:
[tex]d=st[/tex] (2)
[tex]412.5 m-x=(330 m/s)(1.1 s)[/tex] (3)
Finding [tex]x[/tex]:
[tex]x=49.5 m[/tex] This is the distance at which the hunter is from the cliff.
