Difference between revisions of "Search and Rescue"

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2)  Station 102 reports their distance from the ship at 3:30, but it is drowned out by static.  However, station 47 says that they were twice as far from the ship as station 102.  This is enough to pinoint the location, because only one point on the circle can satisfy that condition.  How do you figure out where it is?  
 
2)  Station 102 reports their distance from the ship at 3:30, but it is drowned out by static.  However, station 47 says that they were twice as far from the ship as station 102.  This is enough to pinoint the location, because only one point on the circle can satisfy that condition.  How do you figure out where it is?  
  
Start by drawing a circle around station 102, and make it touch the circle around station 29.  Note the distance.  Then draw a circle around station 47 until it touches one of the two points where the other two circles intersect.  If the radius of the circle around station 47 is more than twice that of the radius of the circle around 102, then your circle around 102 is too small.  Start over and make your circle around 102 bigger.  If the radius of the circle around station 47 is less then twice that around 102, then your circle around 102 is too big.  Make it smaller and try again.  When the distance fromm 47 is exactly twice that of 102, then you've got your answer.
+
Start by drawing a circle around station 102, and make it touch the circle around station 29.  Note the distance.  Then draw a circle around station 47 until it touches one of the two points where the other two circles intersect.  If the radius of the circle around station 47 is more than twice that of the radius of the circle around 102, then your circle around 102 is too small.  Start over and make your circle around 102 bigger.  If the radius of the circle around station 47 is less then twice that around 102, then your circle around 102 is too big.  Make it smaller and try again.  When the distance from 47 is exactly twice that of 102, then you've got your answer.
  
 
The distances need not be exactly perfect, only close enough to identify the correct grid cell where they meet.
 
The distances need not be exactly perfect, only close enough to identify the correct grid cell where they meet.
  
Through trial and error, you will find that the correct distances are about 1010 nautical miles from 102 and 2020 nautical miles from 47, and all three circles intersect at grid location GJ1.
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Through trial and error, you will find that the correct distance from station 102 is about 1010 nautical miles, and all three circles intersect at grid location GJ1.
  
 
The answer to the puzzle is "GJ1".
 
The answer to the puzzle is "GJ1".
 
</spoiler>
 
</spoiler>

Revision as of 06:00, 28 January 2007

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