A radio wave will travel a distance of three nautical miles in how many microseconds?

To determine how long it takes a radio wave to travel a distance of three nautical miles, it is essential to first understand the speed of light in a vacuum, which is approximately 299,792 kilometers per second, or roughly 300,000 kilometers per second. Converting this speed into a more applicable unit, we can recognize that 1 nautical mile is equal to approximately 1.852 kilometers.

Given that one nautical mile can be represented as approximately 1.852 kilometers, three nautical miles would be:

[ 3 , \text{nautical miles} \times 1.852 , \text{km/nautical mile} \approx 5.556 , \text{km} ]

To find the time it takes for light (or a radio wave) to travel this distance, we can utilize the equation:

[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} ]

Thus, we have:

[ \text{Time} = \frac{5.556 , \text{km}}{300,000 , \text{km/s}} ]

Converting kilometers to microseconds involves recognizing that 1 second is equivalent to