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# Missing angles and sides

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Thank you!

May 13, 2020

#1
+111456
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Using the Law of Sines

sin A  /a  =   sin C / c

sin A / 8  =   sin (33 )  /11

sin A  =   8 * sin (33)  / 11

Using the arcsin  we  have that

arcsin  [ 8 sin (33) / 11 ]  = A ≈ 23.33°

B =  180  -  33 - 23.33  =   123.67°

Using the Law of Sines again

b/sin B  = c/sin C

b*sin (123.67) = 11/ sin (33)

b =  11*sin (123.67) / sin (33)  =  16.8

May 13, 2020
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