Answer:
![Distance = 15\ miles](https://img.qammunity.org/2021/formulas/english/high-school/uzepy90a090v2sqkjrhdigvwk44r562ydk.png)
Step-by-step explanation:
Given
![North = 12\ miles](https://img.qammunity.org/2021/formulas/english/high-school/7asegzjoe2tt2nx3p69v6x7e9m0tiff101.png)
![East = 9\ miles](https://img.qammunity.org/2021/formulas/english/high-school/o4wv4i3whwk0nwybcastfvbre9cqrkw0ue.png)
Required
Distance from her house to the store
If she drive straight from her house to the store, this would form a right angled triangle;
Where the horizontal line would be:
![North = 12\ miles](https://img.qammunity.org/2021/formulas/english/high-school/7asegzjoe2tt2nx3p69v6x7e9m0tiff101.png)
And the vertical line;
![East = 9\ miles](https://img.qammunity.org/2021/formulas/english/high-school/o4wv4i3whwk0nwybcastfvbre9cqrkw0ue.png)
And the required distance would be the hypothenuse of the triangle;
Using Pythagoras, we have:
![Distance^2 = 9^2 + 12^2](https://img.qammunity.org/2021/formulas/english/high-school/lkp3tqi3pcupyh84gdlf5pd18g8ny557z5.png)
![Distance^2 = 81 + 144](https://img.qammunity.org/2021/formulas/english/high-school/zcmr5pmsz8pxhsp4lpf4mawm0vmgbxxud2.png)
![Distance^2 = 225](https://img.qammunity.org/2021/formulas/english/high-school/c9pe3jx4o2g4ack3jxy1qqjur3jy59ngvl.png)
Take square root of both sides
![Distance = 15\ miles](https://img.qammunity.org/2021/formulas/english/high-school/uzepy90a090v2sqkjrhdigvwk44r562ydk.png)