Mathematics
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OpenStudy (anonymous):
Solve using law of sines A = 76°, a = 15, b = 5
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OpenStudy (anonymous):
want to try it 1st?\[\frac{ \sin A }{ a }=\frac{ \sin B }{ b }\]
OpenStudy (anonymous):
hey i'm tyring to do this one but since they gave me only one degree i'm having problems
OpenStudy (anonymous):
so far i got this \[15/\sin76 = 5/4.85 = c/sinC\]
OpenStudy (anonymous):
\[\frac{ sin 76 }{ 15 }=\frac{ sin B }{ 5 }\]
solve for B
OpenStudy (amistre64):
gonna need an inverse tham
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OpenStudy (anonymous):
angle C is 180-A-B
OpenStudy (anonymous):
so 104?
OpenStudy (anonymous):
but how can i find C when i only have one degree? 76?
OpenStudy (anonymous):
hello??
OpenStudy (anonymous):
B = 18.87
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OpenStudy (anonymous):
C = 180 - 18.87 - 76
OpenStudy (anonymous):
how did you get 18.87?
OpenStudy (anonymous):
sin(76)/15=sin(B)/5
sin(B)=5*sin(76)/15
B=sin^-1(5*sin(76)/15)
OpenStudy (anonymous):
ohh ok
OpenStudy (anonymous):
so the degree of C will be 85?
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OpenStudy (anonymous):
correct 85.13
OpenStudy (anonymous):
now find c
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
so c is 4.98?
OpenStudy (anonymous):
no
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OpenStudy (anonymous):
it should be 15.4
OpenStudy (anonymous):
but how ?
OpenStudy (anonymous):
hold on i think ididnt find what is sinB
OpenStudy (anonymous):
(15*sin(85))/sin(76)
OpenStudy (anonymous):
hmm
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OpenStudy (anonymous):
A = 76°
B = 18.87°
C = 85.13°
a = 15 m
b = 5 m
c = 15.4 m
OpenStudy (anonymous):
ok i'm going to work it out
OpenStudy (anonymous):
got it! thank you!! :)