Answer:
The distance is 6.9115 miles.
Step-by-step explanation:
To solve this problem we can use a rule of three.
The length of a circumference is 2*pi*r, and if we have a fraction of the whole arc, we have that:
360 degrees -> arc of 2*pi*r
6 * (1/60) degrees -> arc of x
So we have that:
[tex]x * 360 = (1/10) * 2*\pi*r[/tex]
[tex]x = (1/10) * 2 * \pi * 3960 / 360[/tex]
[tex]x = (1/5) * \pi * 11[/tex]
[tex]x = (11/5)*\pi = 6.9115\ miles[/tex]
The distance is 6.9115 miles.
