SOLUTION: Solve the following triangle (3 decimal place accuracy) A=? a=6 feet B=? b=? C=90 degrees. c=95 inches

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Question 1090395: Solve the following triangle (3 decimal place accuracy)
A=? a=6 feet
B=? b=?
C=90 degrees. c=95 inches
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
A=?
B=?
C=90 degrees.
a=6 feet
b=?
c=95 inches=> convert to feet:
1Inch+=+0.08333333333Feet
c=95%2A0.08333333333 feet
c=7.92 feet
since triangle is right triangle, use Pythagorean theorem to find b
c%5E2=a%5E2%2Bb%5E2
b%5E2=c%5E2-a%5E2
b%5E2=7.92%5E2-6%5E2
b%5E2=62.7264-36
b%5E2=26.7264
b=5.17

c%2Fsin%2890%29=b%2Fsin%28B%29
7.92%2F1=5.17%2Fsin%28B%29
sin%28B%29=5.17%2F7.92
sin%28B%29=0.6527777777777778
B=sin%5E-1%280.6527777777777778%29
B=40.75136329567185°-> we can round it toB=40.75°

A=180-%2890%2B40.75136329567185%29°
A=180-130.75136329567185°
A=49.24863670432815°->we can round it toA=49.25°