[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
Given:-
- Ross walked 3 m east and 6 m north.
Find:-
- How far is she from the starting point?
solution:-
Ross walked 3 m east and 6 m north.
so her path is a right angle triangle path.
we know that,
in a right angle triangle, According to the Pythagorean theorom,
[tex]\boxed{\sf{l^2+b^2=h^2 }}[/tex]
where
- l= legs
- b=base
- h=hypotenuse
According to the question,
- [tex]\sf{3^2+6^2=f^2 }[/tex]
- [tex]\sf{9+36=f^2 }[/tex]
- [tex]\sf{f=\sqrt{45} }[/tex]
- [tex]\sf{f=3\sqrt{5} }[/tex]
Therefore:-
he is [tex]\sf{3\sqrt{5} }[/tex] far from the starting point
