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Q.

A ball is thrown from the ground to a wall 3 m high  at a distance of 6 m . If the ball just clears the wall and falls 18 m away from the wall, the angle of projection of ball is

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a

tan-132

b

tan-123

c

tan-112

d

tan-134

answer is B.

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Detailed Solution

Here,   R=u2sin2θg=24∵  y=xtanθ-gx22u2cos2θ         3=6tanθ-36g2u2cos2θ                         …(ii)From Eq. (i), we get             gu2=sin2θ24=sinθcosθ12Substituting in Eq. (ii), we get        3=6tanθ-32tanθ=92tanθ⇒θ=tan-123
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