100 POINTS 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 (that is, travel in a straight line)?
I FOUND THE distance for non bird which is 9/16. I wanna apply the pythagoreum theorum and draw a straight line to make it a triangle so I can do so but don't know where to place it

1/4

Step-by-Step Explanation:

Let's suppose that your house is  located at (0,0)

1 block south from here puts you at (0, -1/16)

1 block east from here now puts you at (1/16, -1/16)

5 blocks north from here puts you at  (1/16, 4/16)

2 blocks east from here puts you at (3/16, 4/16)

You have traveled  (1/16)  ( 1 + 1 + 5 + 2) =   9 / 16 of a mile

The "straightline" distance between (0, 0)  and (3/16, 4/16) =

sqrt  [ (3/16^2 + (4/16)^2 ]  =   sqrt [  25 / 256]  =   5 /16  of a mile

Soyour trip  would be  [ 9/16 - 5/16 ]   =  4/16 =  1/4  of a mile shorter

step-by-step explanation:

im here

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