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116 lines
5.1 KiB
HTML
116 lines
5.1 KiB
HTML
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<meta http-equiv="content-type" content="text/html; charset=utf-8">
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<title>The Fishing Rod</title>
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<article id="content" role="main"><!-- #BeginEditable "Body" -->
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<h1 class="center">The Fishing Rod</h1>
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<p>Sam finished making this very beautiful fishing rod, <b>1.4 m</b> long:</p>
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<p class="center"><img src="images/fishing-rod.svg" alt="fishing rod"></p>
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<p>On the weekend Sam takes the new fishing rod to the train station on the way to a great fishing spot.</p>
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<p> </p>
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<h3>Not Allowed</h3>
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<p>But the Station Master says "Sorry Sam, but it is <b>longer than 1 m</b>. No one is allowed to take things on the train that are more than 1 m long. New rules you know."</p>
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<p>Sam thinks for a bit, then asks "when is the next train?"</p>
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<p>"In half an hour" says the Station Master.</p>
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<p>Half an hour later Sam is back again, with the same fishing rod. It is not altered at all, not cut or shrunk or pulled apart or anything. But the Station Master measures it and says "OK Sam you can get on the train with that."</p>
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<p>What did Sam do?</p>
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<p> </p>
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<p style="width:100px; margin:auto; border-top:3px solid blue;"></p>
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<p> </p>
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<p style="text-align:center; color:blue;">Don't go any further until you have a solution!</p>
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<p> </p>
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<p style="width:100px; margin:auto; border-top:3px solid blue;"></p>
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<p> </p>
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<h3>Sam's Solution</h3>
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<p>Sam cut a piece of cardboard into a <b>1 m square</b> and placed the fishing rod along the diagonal and covered it all in wrapping paper.</p>
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<p class="center"><img src="images/fishing-rod-square.svg" alt="fishing rod in a square"></p>
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<div class="fun"><p style="float:right; margin: 0 0 5px 10px;"><img src="../images/unit-square-diagonal.gif" alt="Unit Square Diagonal" width="128" height="141" /></p>
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<p>In fact the diagonal of a 1 m square is slightly longer:</p>
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<p class="center">it is actually <b>√2 = 1.4142...</b></p>
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<p>Read <a href="../pythagoras.html">Pythagoras Theorem</a> to learn more.</p>
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</div>
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<div style="clear:both"></div>
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<p>The Station Master measured its length and width and found them both "not more than 1 m" and so all was satisfactory.</p>
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<p> </p>
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<p>Such are the ways of the world.</p>
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<p> </p>
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<h3>Daydreaming at the River</h3>
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<p>Sam enjoyed a lovely day at the river, and daydreamed about a new fishing rod, but this one will be longer!</p>
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<p>In fact it will be <b>1.7m</b> long.</p>
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<p>Is there any way Sam could get such a fishing rod past the friendly (but stubborn) Station Master?</p>
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<p> </p>
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<p> </p>
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<div class="related"><a href="../pythagoras.html">Pythagoras Theorem</a> <a href="index.html">Activity Index</a></div>
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Copyright © 2019 MathsIsFun.com
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