Answer:
25 Feet
Step-by-step explanation:
If the man is 5 feet and he cast a shadow of 4 feet that means that there is a 1 foot difference. So, subtract the shadow hight by 1.
We are given an equation:
![(x+10)^{2} + (y-8)^{2} = 16](https://tex.z-dn.net/?f=%20%28x%2B10%29%5E%7B2%7D%20%2B%20%20%28y-8%29%5E%7B2%7D%20%3D%2016)
This is an equation of a circle. General form of a circle equation is:
![(x-a)^{2} + (y-b)^{2} = r^{2}](https://tex.z-dn.net/?f=%20%28x-a%29%5E%7B2%7D%20%2B%20%28y-b%29%5E%7B2%7D%20%3D%20r%5E%7B2%7D%20)
Where:
a = x coordinate of a center
b = y coordinate of a center
r = radius of a circle
Motion detector can detect person anywhere within a boundary. The greatest distance at which detector can detect is at the edge of a circle. That distance, between detector and edge of circle, is equal to radius.
From the equation we have:
![r^{2} =16 \\ r=4](https://tex.z-dn.net/?f=r%5E%7B2%7D%20%3D16%20%20%5C%5C%20r%3D4)
The greatest distance at which person can be detected is 4ft.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation: