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

Question 105

Multiple Choice

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=36A = 36 ^ { \circ } to the left of the tracks. After traveling a distance d=10d = 10 kilometers, the passenger notes that the angle to Sardis City is B=41.5B = 41.5 ^ { \circ } . Estimate the distance from the track to downtown Sardis City. Round to the nearest kilometer.
 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 km B)  41 km C)  44 km D)  45 km E)  46 km


A) 43 km
B) 41 km
C) 44 km
D) 45 km
E) 46 km

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