Let, H is the maximum height,R is the horizontal range, u is initial velocity and θ is the projectile angle.
Now, we have given H=R , we have to find θ .
Since, we know that
H=2gu2sin2(θ) And
R=gu2sin(2θ) Thus,
H=R⟹sin2(θ)=2sin(2θ)⟹sin2(θ)=4sin(θ)cos(θ)⟹tan(θ)=4⟹θ=tan−1(4)≈76∘
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