Ellen walks 4 blocks north and then 3 blockse east to get to the library . How far would she have walked of she walked directly to the library in a straight line

Respuesta :

Answer: 7 blocks east

Step-by-step explanation:

If you skip the going north you would just walk all the blocks one way except for the turn

Answer: 5 blocks

Step-by-step explanation:

This is an application of Pythagoras theorem.

Her movement directly to the library in a straight line is the hypotenuse .

Let her walk directly to the library in a straight line be [tex]x[/tex] , then by Pythagoras theorem ,

[tex]x^{2} =4^{2}+3^{2}[/tex]

[tex]x^{2} = 16 + 9[/tex]

[tex]x^{2} = 25[/tex]

[tex]x = 5[/tex]