Answer:
Case (i) When \[\theta
={{30}^{\text{o}}}\]; \[{{R}_{A}}=\frac{{{u}^{2}}}{g}\sin 2\times
{{30}^{\text{o}}}=\frac{{{u}^{2}}}{g}\times \frac{\sqrt{3}}{2}\]; \[{{H}_{A}}=\frac{{{u}^{2}}}{2g}{{\sin
}^{2}}{{30}^{\text{o}}}=\frac{{{u}^{2}}}{2g}\times \frac{1}{4}\]
Case (ii) When\[\theta
=\text{6}0{}^\circ \]; \[{{R}_{B}}=\frac{{{u}^{2}}}{g}\sin 2\times
{{60}^{\text{o}}}=\frac{{{u}^{2}}}{2}\times \frac{\sqrt{3}}{2}\]; \[{{H}_{B}}=\frac{{{u}^{2}}}{2g}{{\sin
}^{2}}{{60}^{\text{o}}}=\frac{{{u}^{2}}}{2g}\times \frac{3}{4}\]
\[\therefore \] \[{{R}_{A}}:{{R}_{B}}=1:1\]and\[{{H}_{A}}:{{H}_{B}}=1:3\]
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