A submerged scuba diver hears the sound of a boat horn directly above her on the surface of the lake. At the same time, a friend on dry land 22.0 m from the boat also hears the horn (Fig.).
The horn is 1.2 m above the surface of the water. What is the distance (labeled by "?" in Fig.) from the horn to the diver? Both air and water are at 20ºC.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Use v water = 1482 m/s at 20ºC, the sound wave travels in water for the same time as the wave travels a distance 22.0 m – 1.20 m = 20.8 m in air, and so the depth of the diver is
(20.8 m) 
= (20.8 m) 
= 89.6 m.
This is the depth of the diver; the distance from the horn is 90.8 m.
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