Solve the Problem $10 ^ { \circ }$ From Its Direction of Travel

question 76

Multiple Choice

Solve the problem.
-A ship sailing parallel to shore sights a lighthouse at an angle of $10 ^ { \circ }$ from its direction of travel. After traveling 5 miles farther, the angle is $21 ^ { \circ }$ . At that time, how far is the ship from the lighthouse? If necessary, round to the nearest hundredth of a mile.

• A) \(9.39 \mathrm { mi }\)
• B) \(5 \mathrm { mi }\)
• C) \(2.42 \mathrm { mi }\)
• D) \(4.55 \mathrm { mi }\)

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