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. Below, enter your answers so that ∠A1 is smaller than ∠A2.)

Question

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. Below, enter your answers so that ∠A1 is smaller than ∠A2.)
b = 74,    c = 84,    ∠B = 58°
∠A1 =
  °	    	
∠A2 =
  °
∠C1 =
  °	    	
∠C2 =
  °
a1 =
 	    	
a2 =

Steve · Answer

sinC/c = sinB/b = sin58/74 = .01146
sinC = 84*0.1146 = .9626
So, C=74.29 or 105.71
Since A+B+C=180, A = 47.71 or 16.29

Now use
a/sinA = b/sinB = 1/.01146 = 87.259

a1/sin47.71 = 87.259
or
a2/sin16.29 = 87.259

Don't forget your Algebra I now that you're taking trig...