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Two poles one 4m high and the other 4.5m high are situated at distance 40m and 50m respec. from eye. which pole appear taller?

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Find the angle subtended by  the poles at your eyes.

   tan α =  4/40 = 0.1
  tan β = 4.5 / 50 = 0.09

So α is bigger as tan α is higher.  Hence the 4 m pole at 40 m appears bigger.

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