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Benchmarks

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Datalab Benchmark
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知识讲解

例 1 如图所示，一艘渔船以 30 海里/时的速度由西向东航行。在 A 处看见小岛 C 在船北偏东 60^\circ 的方向上。40 min 后，渔船行驶到 B 处，此时小岛 C 在船北偏东 30^\circ 的方向上。已知以小岛 C 为中心，10 海里为半径的范围内是多暗礁的危险区。如果这艘渔船继续向东航行，有没有进入危险区的可能？

Diagram showing the path of a fishing boat (AB) moving eastward. Point C is an island. Dashed lines indicate North direction at A and B. At A, the angle between the North line and AC is 60 degrees. At B, the angle between the North line and BC is 30 degrees. The resulting triangle ABC is shown, where AB is horizontal (East).
Diagram showing the path of a fishing boat (AB) moving eastward. Point C is an island. Dashed lines indicate North direction at A and B. At A, the angle between the North line and AC is 60 degrees. At B, the angle between the North line and BC is 30 degrees. The resulting triangle ABC is shown, where AB is horizontal (East).