A shot is fired at an angle θ to the horizontal such that it strikes the hill while moving horizontally. If tan θ=x2, find the value of x. [Givensin37∘=35]
A
2
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B
3
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C
1
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D
4
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Solution
The correct option is B 3 When the ball is moving horizontally, it is at maximum height. Thus, tan37∘=2hR=2u2sin2θ×g2g×2u2sinθcosθ=sinθ2cosθ=tanθ2thus,tanθ=2tan37∘=32