Question

If Victoria were to put his school at (0,0) on a coordinate plane, her house house would be located at (6,8). If each unit is equal to half of a mile, how many miles away from the school is Victoria's house? =miles away

Answer 1

Step-by-step explanation:

If we draw this situation:

We can see that the distance between Victoria's school and her house is the hypotenuse of a right triangle. The bottom side is 6 units long and the left side is 8 units long. Using the Pythagoran theorem and if d is the hypotenuse (the distance):

`d^2=6^2+8^2`

So the distance in units is:

`d=\sqrt[]{36+64}=\sqrt[]{100}=10`

But we want to know this distance in miles. It is said that each unit equals to half of mile, therefore:

`d_{\text{units}}\cdot(1)/(2)=d_{\text{miles}}`

The distance in miles is half the distance in units: 5 miles

Answer:

Victoria's school is 5 miles away from her house.