Answer:
10 blocks
Step-by-step explanation:
Given
[tex]First = 6\ blocks[/tex]
[tex]Second = 8\ blocks[/tex] east
Required
Determine the shortest possible distance
To better explain my solution, I've added an attachment that illustrates her movement.
Using the attachment as a point of reference, the shortest distance is calculated by calculating the length of the hypotenuse using Pythagoras theorem.
So, we have:
[tex]x^2 = 6^2 + 8^2[/tex]
[tex]x^2 = 36 + 64[/tex]
[tex]x^2 =100[/tex]
Take positive square root of both sides
[tex]x = \sqrt{ 100[/tex]
[tex]x = 10[/tex]