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rhd92781 (686)

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Olaaa!! Perrrfect answer. 118  [166 rates]

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if u've not got it, here's it is:
 
consider the foot of hill on gun's side as origin
slope of hill's surface = 30deg
so its eqn is y=xtan30
or y=x/[ ]3                                                             ....(i)
 
now consider the trajectory of projectile
its eqn is
y=xtan - gx2/2u2cos2
 
now put the values of g=10, u=21,  =60 deg (the angle of projection is 60 deg)
 
the eqn becomes
y=3x-20x2/441                                                         ....(ii)
 
the point on the hill where the shell will fall will be the intersection of eqns (i) and (ii)
 
solving both, we get x=441/103 and y=441/30 m
so its distance frm the origin = (x2+y2) 
which u get as 441/15 m


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