SOLUTION: determine the greatest possible value for B if A=30 degrees, a=5, and b=8 a)23.1 degrees b)53.1 degrees c)126.9 degrees d)96.9 degrees

Algebra ->  Trigonometry-basics -> SOLUTION: determine the greatest possible value for B if A=30 degrees, a=5, and b=8 a)23.1 degrees b)53.1 degrees c)126.9 degrees d)96.9 degrees      Log On


   

Question 212763: determine the greatest possible value for B if A=30 degrees, a=5, and b=8
a)23.1 degrees
b)53.1 degrees
c)126.9 degrees
d)96.9 degrees
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the greatest possible value for B if A=30 degrees, a=5, and b=8

a)23.1 degrees
b)53.1 degrees
c)126.9 degrees
d)96.9 degrees

Step 1. Using the Law of Sines

sin%28B%29%2Fa=sin%28B%29%2Fb and substituting above values yields

sin%2830%29%2F5=sin%28B%29%2F8

sin%28B%29=8%2Asin%2830%29%2F5

sin%28B%29=8%2A.5%2F5

sin%28B%29=.8

B=++53.13 degrees

Step 2. ANSWER is b or 53.13 degrees

I hope the above steps were helpful.

And good luck in your studies!

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Respectfully,
Dr J