Trigonometry

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Ship-to-Shore: Distance Between Towers on Land

TRIG-M3$KBR

A ship at sea is $70\ \text{ miles}$ from one radio transmitter and $130\text{ miles}$ from another transmitter. The measurement of the angle between the signals is ${ 130 }^{ o }$.

How far apart are the transmitters to the nearest tenth of a mile?

A

$124.8\text{ miles}$

B

$208.5\text{ miles}$

C

$88.6\text{ miles}$

D

$212.6\text{ miles}$