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Because of a certain wind, a boat sails 4728 feet in the direction S 47 degrees 29 seconds W. How far south has it gone? How far west has it gone? 

 May 13, 2016
 #1
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The two distances are legs of a right triangle

 

Note 29 seconds = 29/3600 degrees

 

Distance south

 

cos ( 47 + 29/3600)  =  S / 4728   where S is the distance traveled south

 

Rearrange

 

S = 4728 *cos (47 + 29/3600) =  about  3224  feet         

 

 

Distance west

 

sin (47 + 29/3600)  = W / 4728

 

Rearrange

 

W = 4728*sin(47 + 29/3600)  =  about 3458.3 feet 

 

 

cool cool cool

 May 13, 2016

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