In a region with magnetic declination of $2^{\circ} \mathrm{E}$, the magnetic Fore bearing (FB) of a line $A B$ was measured as $\mathrm{N} 79^{\circ} 50^{\prime} \mathrm{E}$. There was local attraction at $A$. To determine the correct magnetic bearing of the line, a point $O$ was selected at which there was no local attraction. The magnetic $\mathrm{FB}$ of line $A O$ and $O A$ were observed to be $S 52^{\circ} 40^{\prime} E$ and $N 50^{\circ} 20^{\prime} W$, respectively. What is the true $\mathrm{FB}$ of line $A B ?$
(A) $\mathrm{N} 81^{\circ} 50^{\prime} \mathrm{E}$
(B) $\mathrm{N} 82^{\circ} 10^{\prime} \mathrm{E}$
(C) $\mathrm{N} 84^{\circ} 10^{\prime} \mathrm{E}$
(D) $\mathrm{N} 77^{\circ} 50 \mathrm{E}$

Question ID - 156140 | SaraNextGen Top Answer

In a region with magnetic declination of $2^{\circ} \mathrm{E}$, the magnetic Fore bearing (FB) of a line $A B$ was measured as $\mathrm{N} 79^{\circ} 50^{\prime} \mathrm{E}$. There was local attraction at $A$. To determine the correct magnetic bearing of the line, a point $O$ was selected at which there was no local attraction. The magnetic $\mathrm{FB}$ of line $A O$ and $O A$ were observed to be $S 52^{\circ} 40^{\prime} E$ and $N 50^{\circ} 20^{\prime} W$, respectively. What is the true $\mathrm{FB}$ of line $A B ?$
(A) $\mathrm{N} 81^{\circ} 50^{\prime} \mathrm{E}$
(B) $\mathrm{N} 82^{\circ} 10^{\prime} \mathrm{E}$
(C) $\mathrm{N} 84^{\circ} 10^{\prime} \mathrm{E}$
(D) $\mathrm{N} 77^{\circ} 50 \mathrm{E}$