A shell fired from the base of a mountai...

A shell fired from the base of a mountain just clears it. If `alpha` is the angle of projection, then the angular elevation of the summit `beta` is

`(alpha)/(2)`

`tan^(-1)((1)/(2))`

`tan^(-1)((tanalpha)/(2))`

`tan^(-1)(2tanalpha)`

Text Solution

Verified by Experts

The correct Answer is:

`becausetantheta=tanbeta+t0anbeta`
`"hear tan" alpha=tan beta+tanbeta`
tan`alpha+2tanbeta`
`beta=tan^(-1)((tanalpha)/(2))`

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