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?
1 answer:
Answer:
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
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