Let me see.
Part (b)
a/sinA = c/sin C
asinC = csinA
asin17 = (2.2)(sin55)
a = (2.2)(sin55)/sin(17)
a = 6.2 miles
Part (c)
Dropping a perpendicular from angle C to D, I form a right triangle.
180° - 108° = 72°.
sin(72) = h/6.2
sin(72)(6.2) = h
5.89 miles = h
Part (d)
Let AC = b
b/sin(108) = 2.2/sin(17)
Solving for b, I get 7.2 miles from A to C.
I can now use the Pythagorean Theorem.
Let d = distance plane must travel before reaching A.
sin(35) = d/7.2
Solving for d I get 4.13 miles.
You say?