The time period of the inertial oscillation at a location $\textsf{R}$ is $1.5$ times that of a particle moving at a speed of $0.5 \mathrm{~m} \mathrm{~s}^{-1}$ at a location $\mathrm{S}\left(87^{\circ} \mathrm{E}, 45^{\circ} \mathrm{S}\right)$. Which of the following is the latitude of location $\textsf{R}$? (Round off to the nearest integer)
- $45 \: ^{\circ} \mathrm{N}$
- $67 \: ^{\circ} \mathrm{S}$
- $28 \: ^{\circ} \mathrm{N}$
- $50 \: ^{\circ} \mathrm{S}$
