Answer:
B. 41.8° is the correct answer
Step-by-step explanation:
We are given that,
Length of Eduardo's flight path = 273 miles
Length of Paul's flight path = 357 miles
Distance between their destinations = 238 miles.
Now, using the law of cosines, we get,
[tex]238^2=273^2+357^2-2\times 273\times 357\times \cos \theta[/tex]
i.e. [tex]56644=74529+127449-194922\times \cos \theta[/tex]
i.e. [tex]56644=201978-194922\times \cos \theta[/tex]
i.e. [tex]194922\times \cos \theta=145334[/tex]
i.e. [tex]\cos \theta=0.7456[/tex]
i.e. [tex]\theta=\arccos 0.7456[/tex]
i.e. θ = 41.8°
Hence, the angle between their flight paths is 41.8°.
