Question

Question #d744c

Answer 1

`5` feet.

Explanation:

Let's assume that the equation describes the distances in feet.

So, the graph of `(x + 15)^2 + (y - 12)^2 = 25` is of the form `(x - p)^2 + (y - q)^2 = r^2`, which is a circle. The radius, `r` will stretch to the circumference on all sides of the centre, so it will determine how far you can step without losing contact with the motion detector.

Here, `r^2 = 25`, so `r = 5` (the radius must be positive).

Therefore, you can step `5` feet in any direction and be detected.

Hopefully this helps!