SOLUTION: Use the Law of Sines to solve the triangle. Round your answers to two decimal places. B = 2° 45', b = 6.7, c = 5.7 C=____° A=_____° a=_____

Algebra ->  Trigonometry-basics -> SOLUTION: Use the Law of Sines to solve the triangle. Round your answers to two decimal places. B = 2° 45', b = 6.7, c = 5.7 C=____° A=_____° a=_____      Log On


   



Question 1172743: Use the Law of Sines to solve the triangle. Round your answers to two decimal places.
B = 2° 45', b = 6.7, c = 5.7
C=____°
A=_____°
a=_____

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
b/sinB=6.7/sin 2.75deg=139.65
c/sinC=139.65, so c/139.65=sin c=0.0408. Take arc sin both sides and C=2.34 deg or 2 deg 22'
a/sin A=139.65, angle A is 180-2.75-2.34=174.91 deg,
sin 174.91=0.0887
a=12.390