SOLUTION: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a =

Algebra ->  Trigonometry-basics -> SOLUTION: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a =       Log On


   

Question 931772: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place.)
a = 23, b = 19, ∠A = 117°
∠B =____ °
∠C =____°
c =
Please explain how to go about solving this
Thank you
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the law of sines.
a%2Fsin%28A%29=b%2Fsin%28B%29
23%2Fsin%28117%29=19%2Fsin%28B%29
sin%28B%29=%2819%2F23%29sin%28117%29
sin%28B%29=0.7360
B=47.4
So then,
C=180-47.4-117
C=15.6
Then use the law of sines again,
a%2Fsin%28A%29=c%2Fsin%28C%29
c=%28sin%28C%29%2Fsin%28A%29%29a
c=%280.2690%2F0.7360%2923
c=8.4