Trigonometry

Free Version

Upgrade subject to access all content

Moderate

Applications, Cell Towers, Law of Cosines, Complementary Angles

TRIG-WFPIWJ

Two cell phone towers, towers ‘A’ and ‘B’, lie on an East-West line and are 52.7 miles apart from each other. A targeted cell phone is 34.5 miles from tower ‘A’ at a bearing of ${41.5}^{°}$.

How far is the cell phone from tower ‘B’? (Round your answer to the nearest tenth of a mile)

A

$39.5\; miles$

B

$9.4\; miles$

C

$35.3\; miles$

D

$79.9\; miles$