Question

Elena likes to skate at a candy store thatbis due south of her school and due west of her favorite game store. If the candy store is 8 miles from her school and the straight line distance between the school and the game store is 10 miles, how farbis the candy store from the game store

Answer 1

The distance between the game store and the candy store is 6 miles.

Explanation:

The problem is represented by the diagram below.

On the diagram, G represents the game store, C represents the candy store and S represents her school.

The three positions for the shape of a right angled triangle.

We can solve this by applying Pythagoras theorem, which states that the sum of the square of the adjacent and opposite of a right angled triangle is equal to the square of the hypotenuse.

Hence:

10² = 8² + x²

=> x² = 10² - 8²

x² = 100 - 64 = 36

=> x = √(36)

x = 6 miles

The distance between the game store and the candy store is 6 miles.