Final answer:
The wavelength at which the AM radio station is broadcasting is approximately 430.46 meters.
Step-by-step explanation:
To calculate the wavelength of a radio wave, we can use the formula:
Wavelength = Speed of Light / Frequency
Given that the frequency of the AM radio station is 697 kHz, we first need to convert it to Hz by multiplying it by 10^3:
Frequency = 697 kHz * 10^3 = 697,000 Hz
Next, we can use the speed of light, which is approximately 3 x 10^8 m/s:
Wavelength = 3 x 10^8 m/s / 697,000 Hz = 430.46 meters
Therefore, the wavelength at which the AM radio station is broadcasting is approximately 430.46 meters.