A plane flies at a cruising altitude of 30,000 ft. How many miles in the air is cruising altitude?
The Correct Answer and Explanation is:
To convert the cruising altitude of 30,000 feet to miles, we need to know the basic conversion factor between feet and miles. Specifically:
- 1 mile = 5,280 feet
Step-by-step conversion:
To convert 30,000 feet into miles, use the formula:
[
\text{Miles} = \frac{\text{Feet}}{5,280}
]
Now, plug in the value for the feet:
[
\text{Miles} = \frac{30,000}{5,280} \approx 5.68
]
Thus, the plane’s cruising altitude of 30,000 feet is approximately 5.68 miles in the air.
Explanation:
The reason for this conversion lies in understanding the relationship between units of length. In this case, we are dealing with feet and miles, both of which are units commonly used in the U.S. customary system for measuring distance. The foot is a smaller unit compared to the mile, which is typically used to measure larger distances.
By dividing the total number of feet (30,000) by the number of feet in one mile (5,280), we obtain the equivalent distance in miles. This is a simple division operation, which is used frequently in situations where you need to switch between different units of measure.
In practical terms, knowing the altitude in miles is often more useful for understanding how high a plane is flying, especially in the context of aviation, where distances are generally reported in miles or kilometers. This helps pilots, air traffic controllers, and passengers alike to gauge the altitude more easily.
Thus, the conversion from feet to miles gives a clearer understanding of the cruising altitude in terms more familiar to everyday travel and mapping distances, especially for larger-scale measurements like air travel.