Question

$\huge\fbox\pink{QUESTION}$
A pole has to be erected at a point on the boundary of a circular park of a diameter 13 m in such a way that the differences of its distances from two diametrically opposite fixed gates A and B on boundary is 7 meters . is it possible to do so? if yes , at what distances from the two gates should the poles be erected.

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Answer 1

Answer:

Solution. Let P be the required location on the boundary of a circular park such that its distance from gate B is x metre that is BP x metres. Hence, P is at a distance of 5 metres from the gate B.

∴ The pole has to be erected at a distance 5 mtrs from the gate B and 12 m from the gate A.