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Trigonometry

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Trigonometric Function, Application, Navigation, Law of Cosines

TRIG-7IUHKK

A ship sails from a port (Point ‘A’) at a bearing of ${80}^{°}$ for $90\ km$. At that time the ship turned and sailed at a bearing of ${195}^{°}$ for another $120\ km$.

How far is the ship from its original port of departure? (Round your answer to the nearest tenth of a kilometer)

A

$54.1\; km$

B

$154.3\; km$

C

$115.6\; km$

D

$124.2\; km$