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10 votes
10 votes
If the airplane had to return to the airport, how far would it have to travel?

A. 154.11 miles
B. 283.8 miles
C. 207.70 miles
D. 249.22 miles

Please help!! :00

If the airplane had to return to the airport, how far would it have to travel? A. 154.11 miles-example-1
User Kami Wan
by
2.7k points

1 Answer

22 votes
22 votes

Answer:

The answer is B. 283.8 miles.
image

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


image =
image

b = 283.76 miles = 283.8 miles

User Soronbe
by
2.9k points