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A Cruise Ship Travels 330 Miles Due East

The Mysteries of the Deep: Exploring a Cruise Ship's Complex Journey

Unraveling the Intricate Path of a Seafaring Vessel

In the vast expanse of the open sea, a cruise ship embarked on a captivating voyage, navigating through a series of intricate turns and bearings. Its journey began with a steady course of 330 miles due east, before a subtle shift in direction altered its path. Turning 25 degrees north of east, the ship sailed an additional 180 miles along its new course. Undeterred, it continued its expedition, turning 30 degrees north of east once more to travel another 300 miles.

Calculating the Horizontal Component of the Ship's Displacement

As the cruise ship embarked on its final phase of the journey, it left port on a bearing of 28 degrees and traveled 75 miles. With a final turn due east, it covered 80 miles, leaving behind a trail of 295 miles in its wake. To determine the horizontal component of its displacement after the last turn, skilled navigators employed their knowledge of trigonometry. By analyzing the ship's bearing and distance traveled, they accurately calculated the horizontal component, providing valuable insights into the ship's overall trajectory.

As the cruise ship sailed towards its destination, its intricate journey served as a testament to the complexities of navigation and the awe-inspiring beauty of the open sea. Each turn and bearing represented a careful calculation, a meticulous plan to chart a course through the vast expanse of water.


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