After school, Anthony skateboards directly from school to a game store and then from the game store to a candy store. The game store is 4 miles south of the school and the candy store is 3 miles east of the game store. What is the straight-line distance between the school and the candy store?
To find the straight-line distance between the school and the candy store, we can use the Pythagorean theorem.
Let's refer to the school as point A, the game store as point B, and the candy store as point C.
The distance from A to B (AB) is 4 miles (south) and the distance from B to C (BC) is 3 miles (east).
We can create a right triangle with AB as the vertical leg and BC as the horizontal leg.
Using the Pythagorean theorem:
AC^2 = AB^2 + BC^2
AC^2 = 4^2 + 3^2
AC^2 = 16 + 9
AC^2 = 25
AC = √25
AC = 5
Therefore, the straight-line distance between the school and the candy store is 5 miles.