Magnetism And Matter

If the angle of dip at places \(A\) and \(B\) are \(30^{\circ}\) and \(45^{\circ}\) respectively, then the ratio of horizontal component of earth's magnetic field at \(A\) to that at \(B\) will be \(\left[\sin 45^{\circ}=\cos 45^{\circ}=\frac{1}{\sqrt{2}}, \sin \frac{\pi}{6}=\frac{1}{2}, \cos \frac{\pi}{6}=\frac{\sqrt{3}}{2}\right]\)