Answer
1.16 miles
Work Step by Step
One minute of arc is $\frac{1}{360\times60}$ of a full circle.
The circumference of the earth is $2\pi R = 2\pi (6400)$ km
The distance on the earth in 1 minute of arc is:
$distance = \frac{1}{360\times60}\times2\pi(6400) ~km = 1.86 ~km$
$distance = (1.86~km)(\frac{1 ~mi}{1.609~km}) = 1.16$ miles
