Solve the Problem $15 ^ { \circ } 30 ^ { \prime }$

question 155

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 $15 ^ { \circ } 30 ^ { \prime }$ . When the boat stops, the angle of depression is $46 ^ { \circ } 19 ^ { \prime }$ . 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) \(575 \mathrm { ft }\)
• B) \(530 \mathrm { ft }\)
• C) \(515 \mathrm { ft }\)
• D) \(553 \mathrm { ft }\)

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