Question

At a place on the surface of earth vertical component of earth's field is two times that of horizontal component. Then the latitude angle at that place is

• A. ${\tan }^{-1}\left(2\right)$
• B. ${\tan }^{-1}\left(1/2\right)$
• C. ${45}^o$
• D. $0^o$

Answer 1

The correct option is C ${45}^o$

• If the angle of dip be $\theta$ and the angle of Latitude be $\lambda$ then $tan\theta =2tan\lambda$
• and $tan\theta =\left(vertical/horizontal\right)=2$ (given)
• so $tan\lambda =2/2=1$ so $\lambda =ta{n}^{-1}1={45}^0$
• or angle of Latitude is ${45}^0$
• Option c is correct.