[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
Given:-
- Pascale leaves the office to go home. She walks 12 blocks due north and then 9 blocks due west.
Find:-
- How far is she from the office?
solution:-
She walks 12 blocks due north and then 9 blocks due west.
- 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{12^2+9^2=f^2 }[/tex]
- [tex]\sf{144+81=f^2 }[/tex]
- [tex]\sf{ f^2=225 }[/tex]
- [tex]\sf{f=\sqrt{225} }[/tex]
Therefore:-
She is 15 blocks far from the office
