Answer:
[tex]Distance = 15\ miles[/tex]
Explanation:
Given
[tex]North = 12\ miles[/tex]
[tex]East = 9\ miles[/tex]
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:
[tex]North = 12\ miles[/tex]
And the vertical line;
[tex]East = 9\ miles[/tex]
And the required distance would be the hypothenuse of the triangle;
Using Pythagoras, we have:
[tex]Distance^2 = 9^2 + 12^2[/tex]
[tex]Distance^2 = 81 + 144[/tex]
[tex]Distance^2 = 225[/tex]
Take square root of both sides
[tex]Distance = 15\ miles[/tex]
