To convert \( \frac{1}{3} \) of a mile to feet, we first need to know how many feet are in a mile.
1 mile = 5280 feet.
Now, we can calculate \( \frac{1}{3} \) of a mile in feet:
\[ \frac{1}{3} \text{ mile} = \frac{1}{3} \times 5280 \text{ feet} \]
Now we perform the multiplication:
\[ \frac{1}{3} \times 5280 = \frac{5280}{3} = 1760 \text{ feet} \]
Thus, \( \frac{1}{3} \) of a mile is equal to 1760 feet.