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Solve the Problem 153015 ^ { \circ } 30 ^ { \prime }

Question 286

Multiple Choice

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 153015 ^ { \circ } 30 ^ { \prime } . When the boat stops, the angle of depression is 461946 ^ { \circ } 19 ^ { \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) 575ft575 \mathrm { ft }
B) 530ft530 \mathrm { ft }
C) 515ft515 \mathrm { ft }
D) 553ft553 \mathrm { ft }

Correct Answer:

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