Explain why a long pole is more beneficial to the tight rope walker if the pole has slight bending. `(AS_(7))`

A man is standing against a wall such that his right shoulder and right leg are in contact with the surface of the wall along his height. Can he raise his left leg at this position without moving his body away from the wall? Why? Explain. (AS_(7))

A pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the differences of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. Find the distances from the gates where the pole is to be erected.

A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end . How far from the base of the pole should the stake be driven so that the wire will be taut ?

A circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground.Find the height of the pole, if the angle made by the rope with the ground levelis 30^(@) ( see Figure)