Final answer:
The wavelength of a radio wave is inversely proportional to its frequency. Therefore, using the given information, we can compute the length of a wave with a frequency of 360 kilohertz as 40 meters.
Step-by-step explanation:
The wavelength of a radio wave is inversely proportional to its frequency. This means that as the frequency increases, the wavelength decreases, and vice versa. In this question, we are given that a wave with a frequency of 1800 kilohertz has a length of 200 meters. To find the length of a wave with a frequency of 360 kilohertz, we can use the proportionality relationship.
Let's set up the proportion:
1800 kilohertz / 200 meters = 360 kilohertz / x
Cross-multiplying and solving for x, we get:
x = (360 kilohertz * 200 meters) / 1800 kilohertz
x = 40 meters
Therefore, the length of a wave with a frequency of 360 kilohertz is 40 meters.