Solve Applied Problems Using the Law of Cosines
-A Plane $31.7 ^ { \circ }$

Multiple Choice

Solve Applied Problems Using the Law of Cosines
-A plane flying a straight course observes a mountain at a bearing of $31.7 ^ { \circ }$ to the right of its course. At that time the plane is 8 kilometers from the mountain. A short time later, the bearing to the mountain becomes $41.7 ^ { \circ }$ . How far is the plane from the mountain when the second bearing is taken (to the nearest tenth of a $\mathrm { km } ) ?$

A) $6.3$ kilometers
B) $10.1$ kilometers
C) $11.4$ kilometers
D) $4.2$ kilometers