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+1
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avatar+308 

My neighborhood is full of one-way streets. To drive from my house to the grocery store, I have to go 1 block south, then 1 block east, then 5 blocks north, then 2 blocks east. Each block is 1/16 of a mile. How much shorter would my trip be if I could fly like a bird?

 Mar 16, 2021
 #1
avatar+121006 
+1

                                             D   2     Store

                                             4

                      House            C  

                          1                1

                          A       1       B

 

Total  distance  without  flying like a bird =  (1  + 1 + 5  + 2)  (1/16)  =   9/16  miles

 

Flying like a bird  we  have  a right triangle with legs of 3  and  4

The  distance  from your house tothe store is   (1/116)  sqrt (3^2 + 4^2)  = (1/16) sqrt (25) =  (1/16) (5)   =

5/16  miles

 

You travel  9/16  -  5/16  = 4 / 16  =   1  / 4   mile less flying like a bird

 

 

cool cool cool                     

 Mar 16, 2021

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