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If the range of a gun which fires a shell with muzzle
\( \mathrm{P} \) speed \( v \), is \( R \), then the angle of elevation of the gun is:

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(1) \( \cos ^{-1}\left(\frac{v^{2}}{R g}\right) \)
(2) \( \cos ^{-1}\left(\frac{R g}{v^{2}}\right) \)
(3) \( \frac{1}{2} \sin ^{-1}\left(\frac{v^{2}}{R g}\right) \)
(4) \( \frac{1}{2} \sin ^{-1}\left(\frac{R g}{v^{2}}\right) \)
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