Question

use dimensional analysis to convert the quantity to the indicated units. 30,330 ft to mi. 12 inches (in.) = 1, 3 feet = 1, 36 inches = 1, 5280 feet = 1. mi (round to the nearest hundredth as needed)

Explanation:

Step1: Identify conversion factor

We know that 1 mile = 5280 feet.

Step2: Set up conversion

We want to convert 30330 feet to miles. So we use the ratio $\frac{1\ mi}{5280\ ft}$.
The calculation is $30330\ ft\times\frac{1\ mi}{5280\ ft}$.

Step3: Calculate result

$30330\div5280=\frac{30330}{5280}\approx 5.74$

Answer:

$5.74$