To get to his office from home, greg walks 7 blocks north and then 3 blocks east. after work he meets some friends at a cafe; to get there he walks 2 blocks south and 6 blocks west. all blocks are 660 feet long. what is the straight-line distance?

The straight-line distance in feet is 4.174,20

Step-by-step explanation:

To get this straight-line distance we can imagine both locations in a chart.

Work will be point (3, 7) (7 blocks north and then 3 blocks east)

Cafe must be calculate from the first point. Greg walks 2 blocks south (5)and 6 blocks west (-3)

Cafe= (-3, 5)

Formula of Distance between two points

d (P₁ y P₂)=√ ((x₂-x₁ )²+ (y₂-y₁ )²)

d (P₁ y P₂)=√ ((-3-3 )²+ (5-7 )²)

d (P₁ y P₂)=√ ((-6 )²+ (-2 )²)

d (P₁ y P₂)=√ (36+ 4)=√40= 6,3245 blocks

Each block is 660 feet long

The straight-line distance in feet is

d=6,3245 blocks *660 feet/block=4.174,20 feet