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Trigonometry: Law of Cosines/Application/Finding Air Distance

GEOM-T912F@

A plane is flying from Springfield, MO, to Memphis, TN, and then turns south heading to Jackson, MS. Traveling an air distance of $230$ miles from Springfield to Memphis, the plane makes a ${127}^{\circ}$ turn and continues flying $197$ miles to Jackson.

Find the air distance the plane will travel from Jackson directly to Springfield on its return trip.

A

$234$ miles

B

$382$ miles

C

$427$ miles

D

$809$ miles