a jetliner is crusing at an altitude of 31,680 ft. What is the altitude in miles? Show work by using demensional analysis.
would it be 6 miles?
What is this "dimensional analysis" stuff?
there are 5280 feet in a mile
so 31680 feet is 31680/5280 or 6 miles
Yes, you are correct, just don't know why the mumble jumble.
To convert the altitude from feet to miles using dimensional analysis, we need to set up a conversion factor that relates feet to miles.
We know that there are 5,280 feet in one mile. Therefore, the conversion factor is:
1 mile / 5280 feet
Now, we can use this conversion factor to convert the altitude from feet to miles.
Altitude in miles = Altitude in feet × (1 mile / 5280 feet)
Plugging in the given altitude of 31,680 feet:
Altitude in miles = 31,680 ft × (1 mile / 5280 ft)
By canceling out the units of feet, we get:
Altitude in miles = 31,680 / 5280 miles
Simplifying the equation:
Altitude in miles = 6 miles.
Therefore, the altitude of the jetliner at 31,680 ft is equivalent to 6 miles.