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


Step 1.  Using the Law of Sines


{{{sin(B)/a=sin(B)/b}}} and substituting above values yields


{{{sin(30)/5=sin(B)/8}}}


{{{sin(B)=8*sin(30)/5}}}


{{{sin(B)=8*.5/5}}}


{{{sin(B)=.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