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A man standing on a horizontal plane, observes the angle of elevation of the top of a tower to be `alpha`.After walking a distance equal to double the height of the tower, the angle of elevation becomes `2alpha` then `alpha` is-

Answer» tan(α)=ha+b+c;tan(2⋅α)=hb+c;tan(3⋅α)=hc;Onsolve,h=a⋅tan(α)⋅tan(2⋅α)tan(2⋅α)−tan(α);h=aSin(2⋅α)


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