Question 1188601
at what angle of firing will a projectile's range be equal to its maximum height?
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Here's a different method:
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The path of the projectile is a parabola.
Make the parabola thru the points A(-1,0), B(0,2) and C(1,0)
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The parabola's equation is y = -2x^2 + 2
y' = -4x
@x = -1, y' = 4
4 is the slope of the parabola at x = -1, and is the tangent of the angle.
Angle = 75.964 degrees with the horizontal.
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This is called "high angle fire"