Question

A projectile is fired from level ground at an angle `theta` above the horizontal. The elevation angle `phi` of the highest point as seen from the launch point is related to `theta` by the relation.
A. `tan phi = 2 tan theta`
B. `tan phi = tan theta`
C. `tan phi = (1)/(2) tan theta`
D. `tan phi = (1)/(4) tan theta`

Answer 1

Correct Answer - C
( c) From figure
`tan phi = (H)/(R//2)`
=`(u^2 sin^2 theta//2 g)/(u^2 sin 2 theta//2 g) = (sin^2 theta)/(sin 2 theta)=(1)/(2) tan theta`.
.