Respuesta :

Answer:

The answer is B. 283.8 miles.[tex]\sqrt{b^2[/tex]

Step-by-step 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

[tex]\sqrt{b^2[/tex] = [tex]\sqrt{80,522.15}[/tex]

b = 283.76 miles = 283.8 miles