Solve the Problem $15 ^ { \circ } 8 ^ { \prime }$

Solve the problem.
-A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is $15 ^ { \circ } 8 ^ { \prime }$ . When the boat stops, the angle of depression is $55 ^ { \circ } 7 ^ { \prime }$ . The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round to the nearest foot.

A) $623 \mathrm { ft }$
B) $585 \mathrm { ft }$
C) $645 \mathrm { ft }$
D) $600 \mathrm { ft }$

Correct Answer:

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