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A projectile is fired from level ground at an angle θ above the horizontal. The elevation angle ϕ of the highest point as seen from the launch point is related to θ by the relation:

a
tan⁡ϕ=14tan⁡θ
b
tan⁡ϕ=tan⁡θ
c
tan⁡ϕ=12tan⁡θ
d
tan⁡ϕ=2tan⁡θ

detailed solution

Correct option is C

It is clear from the adjoining figure that,tan⁡ϕ=HR/2=u2sin2⁡θ/2gu2sin⁡2θ/2g=sin2⁡θsin⁡2θ=12tan⁡θ

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