Assuming the Earth is a sphere with radius $r$, a point particle moves north from location A along the meridian passing through that location. When it reaches the North Pole, the arc length traveled is $\frac{7}{12}\pi r$. Which of the following options is most likely the location of A? (1) East longitude $75^{\circ}$, North latitude $15^{\circ}$ (2) East longitude $30^{\circ}$, South latitude $75^{\circ}$ (3) East longitude $75^{\circ}$, South latitude $15^{\circ}$ (4) West longitude $30^{\circ}$, North latitude $75^{\circ}$ (5) West longitude $15^{\circ}$, South latitude $30^{\circ}$
Assuming the Earth is a sphere with radius $r$, a point particle moves north from location A along the meridian passing through that location. When it reaches the North Pole, the arc length traveled is $\frac{7}{12}\pi r$. Which of the following options is most likely the location of A?\\
(1) East longitude $75^{\circ}$, North latitude $15^{\circ}$\\
(2) East longitude $30^{\circ}$, South latitude $75^{\circ}$\\
(3) East longitude $75^{\circ}$, South latitude $15^{\circ}$\\
(4) West longitude $30^{\circ}$, North latitude $75^{\circ}$\\
(5) West longitude $15^{\circ}$, South latitude $30^{\circ}$