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Answer:
Explanation:
The frequency is 16.0 Hz. That means that 16 of these waves can pass a single point in 1 second. We are given frequency and wavelength. The equation that relates them is
[tex]f=\frac{v}{\lambda}[/tex] where f is frequency, v is velocity, and λ is wavelength. Putting all this together:
[tex]16.0=\frac{v}{97.5}[/tex] and solving for velocity,
v = 16.0(97.5) so
v = 1560 m/s. This wave can travel 1560 meters in a single second!!! Now that we know this velocity, we can use it in a proportion to find our unknown, which is how long, t, it will take to hear this sound 11000m away. (11 km is 11000m):
[tex]\frac{1560m}{1s}=\frac{11000}{t}[/tex] and cross multiply to get
1560t = 11000 so
t = 7.1 seconds