SOLUTION: The following information refers to triangle ABC. Find all the missing parts. (Round your answers for sides a and b to the nearest whole number.) A = 110.4°, C = 22.7°, c = 23

Algebra ->  Triangles -> SOLUTION: The following information refers to triangle ABC. Find all the missing parts. (Round your answers for sides a and b to the nearest whole number.) A = 110.4°, C = 22.7°, c = 23      Log On


   

Question 1135786: The following information refers to triangle ABC. Find all the missing parts. (Round your answers for sides a and b to the nearest whole number.)
A = 110.4°, C = 22.7°, c = 237 inches

B= °
a= in
b= in

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

A+=+110.4°, C+=+22.7°, c+=+237 inches
B= °
B=180-%28110.4%2B22.7%29°
B=180-133.1°
B=+46.9°
a= in
b= in
use law of sine:
a%2Fsin%28A%29=+b%2Fsin%28B%29=+c%2Fsin%28C%29
a%2Fsin%28A%29=+c%2Fsin%28C%29...plug in known values
a%2Fsin%28110.4%29=+237%2Fsin%2822.7%29
a=+%28237%2Asin%28110.4%29%29%2Fsin%2822.7%29
a=+%28237%2A0.937282%29%2F0.385906
a=+575.62
a=+576inches

+b%2Fsin%2846.9%29=+237%2Fsin%2822.7%29
+b=+%28237%2Asin%2846.9%29%29%2Fsin%2822.7%29
+b=+%28237%2A0.730162%29%2F0.385906
+b=+448.42
+b=+448 inches