The ratio of a projectile's throw angle to an angle
over the horizontal range described by the projectile is:
1:2
1:1
2:3
3:3
The projectile is projected at an angle and
, which are complementary to each other which means that the two angles add up to 90° . Hence, horizontal ranges will be equal.
where is the angle of projection
Or,
For, ,
we get:
For
Hence,
Or,