SOLUTION: Solve using the Law of Sines and a scaled drawing. If two triangles exist, solve both completely. Round to the nearest tenth. side a = 16.4 mi angle B = 54° side b = 25.3 mi

Algebra ->  Triangles -> SOLUTION: Solve using the Law of Sines and a scaled drawing. If two triangles exist, solve both completely. Round to the nearest tenth. side a = 16.4 mi angle B = 54° side b = 25.3 mi      Log On


   

Question 1080834: Solve using the Law of Sines and a scaled drawing. If two triangles exist, solve both completely. Round to the nearest tenth.
side a = 16.4 mi
angle B = 54°
side b = 25.3 mi
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

side a+=+16.4mi
angle B+=+54°
side b+=+25.3mi

a%2Fsin%28A%29=b%2Fsin%28B%29
16.4%2Fsin%28A%29=25.3%2Fsin%2854%29
16.4%2Fsin%28A%29=31.2725
sin%28A%29=16.4%2F31.2725
sin%28A%29=0.52442241586
A=sin%5E-1%280.52442241586%29
A=31.629368708°
A=31.63°

angle C+=+180-%2854%2B31.63%29°
C+=+180-%2885.63%29°
C+=94.37°

c%2Fsin%2894.37%29=25.3%2Fsin%2854%29
c%2F0.9970928=31.2725
c=31.2725%2A0.9970928
c=31.181584588
c=31.2mi
there is one triangle