Question

Sonja's house is 4 blocks west and 1 block south of the center of town. Her school is 3 blocks east and 2 blocks north of the center of town.

Which graph represents this scenario?

(Hint: The center of town should be the origin, and north is up.)

Answer 1

The answer is
`√(58) = 7.62`

So, if you draw this down, you will see that the direct distance is hypotenuse c of a right triangle which sides are 3 blocks (1 south and 2 north) and 7 blocks (4 west and 3 east).

Use the Pythagorean theorem:

`c^2 = a^2 + b^2`

`a = 3`

`b = 7`

`c^2 = 3^2 + 7^2`

`c^2 = 9 + 49`

`c^2 = 58`

`c = √(58)`

`c = 7.62`