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It was calculated that a shell when fired from a gun with a certain velocity and at an angle of elevation 5π/36 radians should strike a given target. In actual practice it was found that a hill just intervened in the trajectory. At what angle of elevation should the gun be fired to hit the target ?

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a

5π36radian

b

7π36radian

c

11π36radian

d

13π36radian

answer is D.

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Detailed Solution

To hit the target, horizontal range should be same so angle of Projection =π2-5π36=13π36 radian.

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It was calculated that a shell when fired from a gun with a certain velocity and at an angle of elevation 5π/36 radians should strike a given target. In actual practice it was found that a hill just intervened in the trajectory. At what angle of elevation should the gun be fired to hit the target ?