Question

For traffic control a CCTV camera is fixed on a straight and vertical Pole the camera can see 113m disttancce from the top if the area visible by the camera around the pole is 39242 m square then find the height of the pole

Answer 1

Answer:

The height of the pole  =  15  m

Step-by-step explanation:

Here, the area visible is typed wrong .I am giving correct step by step explanation of question .

As, the area visible by the camera around the pole would form a circle.

Thus, area visible by the camera around the pole  =  pi * r²

Here, the correct area visible by the camera around the pole  = 39424 m²

=>  39424 m²  =  (22/7) * r²

=>    r²  =  12544

=>  r  =  112 m

Thus, radius of circle  =  112  m

Also, the camera can see 113 m distance from the top .

So, A right triangle is formed whose base is 112 m and hypotenuse is 113 m

Thus, perpendicular  =  √hypotenuse² - base²

                                  =  √113² - 112²

                                   =  √225

                                   =   15  m

Thus,  the height of the pole  =  15  m