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The central pole of a conical tent is 3/...

The central pole of a conical tent is `3/2 m` high. The pole is supported by ropes tied to its top and nails on the ground. If on the ground from the foot of the pole, the distances of the surface of the tent and the nail(s) are in the ratio of `1: 3` and if the angles of depression from the top of the pole of the nails and the surface of the tent are in the ratio of `1 :2`, then the length of one such rope is `(2tantheta=(2tantheta)/(1-tan^2 theta))`

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