Galileo writes that for angles of projection of a projectile at angles `(45 + theta)` and `(45 - theta)`, the horizontal ranges described by the projectile are in the ratio of (if `theta le 45`)

Options

A. `2 : 1`
B. `1: 2`
C. `1 : 1`
D. `2 : 3`

Answer

C

Explanation

`R_(1) = (u^(2))/(g) sin{2(45 + theta)} = (u^(2))/(g) cos 2 theta`
`R_(2) = (u^(2))/(g) sin {2(45 - theta)} = (u^(2))/(g) cos 2 theta`
`(R_(1))/(R_(2)) = (1)/(1)`