At a point P on a projectile, α=45° and β=30°, where α and β are the acute angles made by the lines joining P to the point of projection and point of landing respectively. Which pair is correct?
Options

Question

At a point P on a projectile, α=45° and β=30°, where α and β are the acute angles made by the lines joining P to the point of projection and point of landing respectively. Which pair is correct?

G1 Physics · Accepted Answer

For any point P on the trajectory, tanθ = tanα+tanβ, tanψ = tanα−tanβ. Here tan45°=1, tan30°=1/√3. Therefore tanθ = 1+1/√3, tanψ = 1−1/√3. Hence option A is correct.