A projectile is projected from the ground and lands at the same level. If its horizontal range is equal to its maximum height, then the value of tanθ, where θ is the angle of projection, is:
Options

Question

A projectile is projected from the ground and lands at the same level. If its horizontal range is equal to its maximum height, then the value of tanθ, where θ is the angle of projection, is:

G1 Physics · Accepted Answer

For a projectile, R/H = 4cotθ. Given R = H, so 4cotθ = 1 ⇒ cotθ = 1/4 ⇒ tanθ = 4. Therefore option B is correct.