The speed of light is:
[tex]c=3 \cdot 10^5 km/s = 3 \cdot 10^8 m/s[/tex]
while the frequency of the radio waves is
[tex]f=107.7 MHz = 107.7 \cdot 10^6 Hz[/tex]
We can find the corresponding wavelength by using the relationship
[tex]\lambda= \frac{c}{f} [/tex]
where
[tex]\lambda [/tex] is the wavelength
c is the speed of light
f is the frequency
By susbstituting the numbers, we find
[tex]\lambda= \frac{3 \cdot 10^8 m/s}{107.7 \cdot 10^6 Hz}=2.79 m [/tex]