SOLUTION: This problem refers to triangle ABC. If A = 80°, B = 30°, and a = 36 km, find C and then find c. (Round your answers to the nearest whole number.) C= ° c=

Algebra ->  Triangles -> SOLUTION: This problem refers to triangle ABC. If A = 80°, B = 30°, and a = 36 km, find C and then find c. (Round your answers to the nearest whole number.) C= ° c=       Log On


   

Question 1135710: This problem refers to triangle ABC.
If A = 80°, B = 30°, and a = 36 km, find C and then find c. (Round your answers to the nearest whole number.)
C= °
c= km
Found 3 solutions by Boreal, josgarithmetic, MathLover1:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
C is 70 deg so that the sum is 180 deg
36 km/sin 80=x km/sin 70 by Law of Sines
x=34.35 or 34 km

Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Law Of Sines to find c, but simple A+B+C=180 to find interior angle at C.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A+=+80°
B=30%29 °
C+=+180-%2880%2B30%29=180-110=70°
a+=+36km+
c= km
By using the law of sines, we calculate unknown side c:
a%2Fsin%28A%29=c%2Fsin%28C%29
c=%28a%2Asin%28C%29%29%2Fsin%28A%29
c=%2836%2Asin%2870%29%29%2Fsin%2880%29
c=%2836%2A0.93969262%29%2F0.984807753
c=33.82893432%2F0.984807753
c=34.35
c=34km