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Calculate the length of ac

 

 Apr 23, 2020
 #1
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I don't see any direct way to find AC.

We can find angle(C), then use this answer to find angle(B), and then use the Law of Sines to find AC.

 

sin(C) / 8.2  =  sin(81) / 13,5

        sin(C)  =  sin(81) / 13.5 x 8.2

        sin(C)  =  0.59993

               C  =  sin-1(0.59993)

               C  =  36.865

 

angle(B)  =  180 - 81 - 36.865  =  62.135

 

AC / sin(62.135)  =  13.5 / sin(81)

                     AC  =  13.5 / sin(81) x sin(62.135)

                     AC  =  12.1

 Apr 23, 2020

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