SOLUTION: Find all solutions to the following triangle. (Round your answers to the nearest whole number. If either triangle is not possible, enter NONE in each corresponding answer blank.)

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Question 1126588: Find all solutions to the following triangle. (Round your answers to the nearest whole number. If either triangle is not possible, enter NONE in each corresponding answer blank.)
A = 44°, a = 33 ft, b = 36 ft
First triangle (assume B ≤ 90°):
B= °
C= °
c= ft
Second triangle (assume B' > 90°):
B'= °
C'= °
c'= ft
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
use LAW OF SINES
sin%28A%29%2Fa=sin%28B%29%2Fb=sin%28C%29%2Fc

given:
A+=+44°, a+=+33ft, b+=+36ft
(assume B+%3C=+90°) ...as you can see b%3Ea, means B%3EA

sin%28A%29%2Fa=sin%28B%29%2Fb
sin%2844%29%2F33=sin%28B%29%2F36
36%2Asin%2844%29%2F33=sin%28B%29
sin%28B%29=12%2Asin%2844%29%2F11
sin%28B%29=0.7578
B=sin%5E-1%280.7578%29
B=49.27° ......Round your answer to the nearest whole number
B=49°
C=180-%2844%2B49%29
C=180-93
C=+87°

sin%28B%29%2Fb=sin%28C%29%2Fc
c%2Asin%28B%29=b%2Asin%28C%29
c=%28b%2Asin%28C%29%29%2Fsin%28B%29
c=%2836%2Asin%2887%29%29%2Fsin%2849%29
c=47.64....round
c=48


(assume B+%3E=+90°)

if B+%3E=+90°, then b%3E36ft, and you are given b+=+36ft
so, that triangle is not possible