A pole has to be erected at a point on the boundary of a circular park of diameter 13 metres in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. Is it the possible to do so? If yes, at what distances from the two gates should the pole be erected?

Match the items on the right to the items on the left.

STEP 1

STEP 2

STEP 3

STEP 4

STEP 5

STEP 6

Let the distance of pole from gate A be ‘a’.⇒ Difference of the distance of the pole from two diametrically opposite fixed gates A and B on the boundary is 7 metres.

⇒ Distance of pole from gate B = a – 7 m. Diameter of the park = 13 m

Thus, distance of pole is 12 m from gate A and (12 - 7) = 5 meters from gate B