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SOHCAHTOA - Two Boats

ACTMAT-JTKE5Y

Two boats are in line with a 70-foot tall lighthouse, and are on the same side of the lighthouse. The angles of elevation of the boats to the top of the lighthouse are $6.4°$ and $18.9°$, respectively.

How far apart are the two boats?

A

$\text{411.9 ft}$

B

$\text{419.6 ft}$

C

$\text{624.1 ft}$

D

$\text{828.6 ft}$

E

$\text{844.1 ft}$