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Q.

A shot is fired at an angle θ to the horizontal such that it strikes the hill while moving horizontally. Find initial angle of projection θ.

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a

tan⁡θ=25

b

tan⁡θ=38

c

tan⁡θ=32

d

tan⁡θ=52

answer is C.

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Detailed Solution

usin⁡θg=2usin⁡θ−37∘gcos⁡37∘sin⁡θ=2(sin⁡θ)45−2cos⁡θ35454sin⁡θ=8sin⁡θ−6cos⁡θ4sin⁡θ=6cos⁡θ⇒tan⁡θ=32
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A shot is fired at an angle θ to the horizontal such that it strikes the hill while moving horizontally. Find initial angle of projection θ.