Question

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

Answer 1

The answer is B. 283.8 miles.
`\sqrt{b^2`

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

`\sqrt{b^2` =
`√(80,522.15)`

b = 283.76 miles = 283.8 miles