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The bearing from city A to city B is S 40 degrees and the bearing from city B to city C is N 75 degrees.?

  • The bearing from city A to city B is S 40 degrees and the bearing from city B to city C is N 75 degrees. It takes 2.5 hours for a car traveling at 42 miles per hour to go from A to B ...show more

  • Answer:

    A = 40° B = 75° dc/dt = 42 mi./hr. Tc = 1.1 hrs. Ta = 2.5 hr.s C = 180 - A - B Subbing known values, C = 180 - 40 - 75 C = 65° c = (dc/dt)(Tc) Subbing, c = 42(1.1) c = 46.2 b / Sin B = c / Sin C ......... Law of Cosines Subbing, b / Sin 75) = 46.2 / Sin 65 b / 0.9659 = 46.2 / 0.9063 b / 0.9659 = 50.976 b = (0.9659)(50.975) b = 49.238 Distance = 49.238 mi. ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯  

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