Answer:
The answer to your question is 2.4 units shorter.
Step-by-step explanation:
Data
3 blocks east and 7 blocks north.
Process
1.- Calculate the distance walking the blocks
distance = 3 + 7
distance = 10
2.- Calculate when walking diagonally using the pythagorean theorem
distance² = 3² + 7²
distance² = 9 + 49
distance² = 58
distance = 7.62
3.- Calculate the difference of distances
Δd = 10 - 7.62
Δd = 2.38 units
There is 2.38 shorter is the shortcut than walking the blocks.
The distance walking the blocks
Distance = 3 + 7
= 10
Now
The distance via pythagorean theorem
[tex]= \sqrt{3^2 + 7^2}\\\\ = \sqrt{9 + 49}\\\\= \sqrt{58}[/tex]
= 7.62
Now the difference of distances
= 10 - 7.62
= 2.38 units
Therefore we can conclude that There is 2.38 shorter is the shortcut than walking the blocks.
Learn more: brainly.com/question/6201432
