Downtown Sardis City Is Located Due North of a Straight $A = 36 ^ { \circ }$

Downtown Sardis City is located due north of a straight segment of train track oriented in an east-west direction (see map below) . A passenger on a train that is traveling from west to east notes that downtown Sardis City is visible at an angle $A = 36 ^ { \circ }$ to the left of the tracks. After traveling a distance $d = 10$ kilometers, the passenger notes that the angle to Sardis City is $B = 41.5 ^ { \circ }$ . Estimate the distance from the track to downtown Sardis City. Round to the nearest kilometer.

A) $43 \mathrm {~km}$
B) $41 \mathrm {~km}$
C) $44 \mathrm {~km}$
D) $45 \mathrm {~km}$
E) $46 \mathrm {~km}$