Given:
The speed of sound in water is,
[tex]v=1530\text{ m/s}[/tex]The signal returns after
[tex]t=3.75\text{ s}[/tex]To find:
The depth of the ocean
Explanation:
The distance traveled by sound in this sound is,
[tex]\begin{gathered} d=vt \\ =1530\times3.75 \\ =5737.5\text{ m} \end{gathered}[/tex]The depth of the ocean is,
[tex]\begin{gathered} D=\frac{d}{2} \\ =\frac{5737.5}{2} \\ =2868.75\text{ m} \end{gathered}[/tex]Hence, the depth is 2868.75 m.