Law of Sines and Cosines

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In triangle ABC, if A=39 degrees, b=49 ft, and a=36 ft, find all of the missing measures.

a.B=59 degrees, C=82 degrees, c=57ft or B'=121 degrees, C'=20 degrees, c=20

b.B=59 degrees, C= 82 degrees, c=57ft or B'=38 degrees, C'=103 degrees, c=61ft

c.B= 59 degrees,C= 82 degrees, c=57ft

d.No solution

May 28th, 2015

a/sinA = b/sinB

sin B =b sin A/ a =49 *0.629/36=0.857

B=59 degrees

a^2=b^2+c^2-2bc*sinA

1296=2401+c^2-61.67c

c^2-61.67c+1105=0


May 28th, 2015

I will post remainder and exact answer in a few minutes

May 28th, 2015

Okay thanks


May 28th, 2015

C=180-39-59= 82 degrees

a/sinA = c/sinC

c=asinC/sinA=36*0.99/0.629=57 ft


c.B= 59 degrees,C= 82 degrees, c=57ft

May 28th, 2015

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May 28th, 2015
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May 28th, 2015
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