Answer:
The answer is B. 283.8 miles.
Explanation:
Using the cosine rule:
b^2 = a^2 + p^2 - 2ap(cosB)
b^2 = 172.20^2 + 111.64^2 - 2 x 172.20 x 111.64(cos177.29)
b^2 = 42,116.33 - 38,448.82(cos177.29)
b^2 = 42,116.33 - (-38,405.82)
b^2 = 42,116.33 +38,405.82
b^2 = 80,522.15
=
b = 283.76 miles = 283.8 miles