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Trigonometry

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Moderate

Law of Cosines: Surveyor Finding Distance Between Two Objects

TRIG-EZBMS1

A surveyor determined that the distance from where she stood to two different objects was $3.5\text{ miles}$ and $6\text{ miles}$ respectively. She also determined that from her viewpoint the viewing angle between the two object was ${ 48 }^{ o }$.

To the nearest tenth of a mile, what was the distance between the two objects?

A

$4.1\text{ miles}$

B

$5.8\text{ miles}$

C

$4.5\text{ miles}$

D

$8.7\text{ miles}$