Question #d744c

1 Answer
Noah G
Mar 10, 2017

#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!

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