Answer:
286.48 miles
Step-by-step explanation:
The desired arc length is 100 miles and the desired change in direction is 20 degrees. The equation that describes arc length as a function of the radius is:
[tex]Arc = \frac{\theta}{360}*2\pi r[/tex]
Applying the given values:
[tex]100 = \frac{20}{360}*2\pi r\\r = \frac{100*18}{2\pi}\\r=286.48\ miles[/tex]
A radius of 286.48 miles should be used.
