Law of Sines

1. Consider triangle ABC, where angle A measures 58^o and angle B measures 34^o.  If side b measures 20 cm, what is the measure of side a. 

 a =  30.3 cm

a  =  30 cm

 a   =  36 cm

2. The town of Mathville is triangular in shape and is bordered by three roads.   Alpha Lane is 4.0 miles long.  Beta Drive is 3.7 miles long and Gamma Blvd which is 8.6 miles long.  If the angle formed by Alpha Lane and Beta Drive is 62^o.   Find  angle formed by Beta Drive and Gamma Blvd.


  Angle is 24.24^o

  Angle is 24^o

  Angle is 32^o

3. A ship leaves the South Street Seaport and heads 35^o east of south for 10 kilometers. How many kilometers south is the ship?

  b = 8.2km

  b = 7.0km

  b = 5.7km