Santos walks 2 kilometers south and then a certain number of kilometers east. He ends 5 kilometers away from his starting position.How many kilometers east did Santos walk?

Respuesta :

Answer:

[tex]\sqrt{21}\ km[/tex] or  [tex]4.58\ km[/tex]  

Step-by-step explanation:

we know that

Applying Pythagoras' Theorem, calculate how many kilometers eastward Santos walked

so

Let

x----> quantity of kilometers eastward that Santos walked

[tex]x^{2}=5^{2}-2^{2}[/tex]

[tex]x^{2}=21[/tex]

[tex]x=\sqrt{21}\ km[/tex] ----> exact value

[tex]\sqrt{21}=4.58\ km[/tex]  -----> approximate value

Answer:

4.6 Or 4.60

Step-by-step explanation:

Like the other person said, 4.56. The question says "round to the nearest tenth" so 4.56 rounds to 4.60

Hope it helps~