A Land Developer Wants to Find the Distance Across a Small

Multiple Choice

A land developer wants to find the distance across a small lake in the middle of his proposed development.The bearing from A to B is $\mathrm { N } 31 ^ { \circ } \mathrm { W }$ .The developer leaves point A and travels 74 yards perpendicular to $\overline{A B}$ to point C.The bearing from C to point B is $\mathrm { N } ~59 ^ { \circ } \mathrm { W }$ .Determine the distance,AB,across the small lake.Round distance to nearest yard.

A) 169 yards
B) 114 yards
C) 139 yards
D) 154 yards
E) 121 yards