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?