Final answer:
The ice cream parlor is approximately 2.32 miles from the game store.
Step-by-step explanation:
To find the distance between the ice cream parlor and the game store, we can use the Pythagorean theorem. Let's assume that the game store is point A, the ice cream parlor is point B, and the school is point C.
Since Mason skates due south from his school to the ice cream parlor, the distance between the school and the ice cream parlor can be represented as the length of the vertical leg of a right triangle. Similarly, since the ice cream parlor is due west of the game store, the distance between the ice cream parlor and the game store can be represented as the length of the horizontal leg of the right triangle.
Using the Pythagorean theorem, we can say that the square of the hypotenuse (the distance between the school and the game store) is equal to the sum of the squares of the other two sides of the triangle. In this case, the hypotenuse is the straight-line distance between the school and the game store.
Let's denote the distance between the school and the game store as x. Using the given information, we can say:
x^2 = 1^2 + 2.1^2
x^2 = 1 + 4.41
x^2 = 5.41
x = sqrt(5.41)
x ≈ 2.32
Therefore, the ice cream parlor is approximately 2.32 miles from the game store.