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Q.

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

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a

tanϕ=14tanθ

b

tan ϕ = tan θ

c

tanϕ=12tanθ

d

tan ϕ = 2tan θ

answer is C.

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Detailed Solution

tanϕ=HR/2=2HR=u2sin2θ/gu2sin2θ/g⇒  tanϕ=sin2θ2sinθcosθ=tanθ2
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