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.