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A Land Developer Wants to Find the Distance Across a Small

question 5

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. $A land developer wants to find the distance across a small lake in the middle of his proposed development.The bearing from A to B is \mathrm { N } 31 ^ { \circ } \mathrm { W } .The developer leaves point A and travels 74 yards perpendicular to \overline{A B} to point C.The bearing from C to point B is \mathrm { N } ~59 ^ { \circ } \mathrm { W } .Determine the distance,AB,across the small lake.Round distance to nearest yard. A) 169 yards B) 114 yards C) 139 yards D) 154 yards E) 121 yards$

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