Answer
Part A:
d = 12 miles
Part B:
d = 6 miles
Part C:
d = 6.928 miles
Work Step by Step
The sine function will be used in all parts:
Part A:
sin($30^{o}$) = $\frac{6}{d}$
d = 12 miles
Part B:
sin($90^{o}$) = $\frac{6}{d}$
d = 6 miles
Part C:
sin($120^{o}$) = $\frac{6}{d}$
d = 6.928 miles