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January 15th, 2017, 07:54 AM  #1 
Newbie Joined: Jan 2017 From: Warrington Posts: 2 Thanks: 0  Ship problem
Hi, complete new comer to this forum and not quite sure this is the right place to ask a new question? Here goes anyway: If a ship steams southeast at 20 knots across a current flowing towards 060° at 2 knots, what is its position relative to its starting position after 1 hour? I'm assuming it's going to be easiest to solve with a vector diagram, I'm just not quite sure how you'd draw it. Thanks in advance. 
January 15th, 2017, 08:25 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,725 Thanks: 1376 
Relative to the +xaxis, SE is (45 degrees) and direction 060 is (30 degrees) ship's path relative to the water + current = ship's path relative to the Earth $\vec{S} + \color{blue}{\vec{C}} = \color{red}{\vec{E}}$ you can solve this using the Law of Cosines/Sines, or you can solve it using the method of vector components. sketch attached ... 

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