Mathematics
11 Online
OpenStudy (anonymous):
In the triangle, b = _____. If necessary, round your answer to two decimal places.
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OpenStudy (anonymous):
OpenStudy (anonymous):
@TranceNova
OpenStudy (anonymous):
@hartnn
hartnn (hartnn):
can u find angle B ?
OpenStudy (anonymous):
sum of angles = 180 so its 115.7
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hartnn (hartnn):
now just use sine rule, u know that rule?
OpenStudy (anonymous):
not really
hartnn (hartnn):
\(\huge \frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}\)
in any triangle.
OpenStudy (anonymous):
i have only one side though....so do i do the angle corresponding to the side i have to find the other ones and then what?
OpenStudy (anonymous):
its just b ?
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hartnn (hartnn):
u know B
so u know sin B
you are already given a and A
hartnn (hartnn):
\(\huge \frac{a}{\sin A}=\frac{b}{\sin B}\)
hartnn (hartnn):
a= 22 , bdw
OpenStudy (anonymous):
okay so 22/sin34.5 = b/sin115.7?
hartnn (hartnn):
exactly.
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OpenStudy (anonymous):
so to get b by itself i would do 22/sin34.5 * sin115.7?
hartnn (hartnn):
going good :)
OpenStudy (anonymous):
i got 43.11
hartnn (hartnn):
let me calculate and verify
wait.
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OpenStudy (anonymous):
i did it in calc and still got 43.105
hartnn (hartnn):
is you calcy in degrees mode ?
OpenStudy (anonymous):
yes i think you were in radians
OpenStudy (anonymous):
or not"? 0.o-
hartnn (hartnn):
the angles are in degrees, so u need to keep your calcy in degrees mode.
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OpenStudy (anonymous):
well i did it in google ..and got my answer too...
hartnn (hartnn):
then it must be correct
OpenStudy (anonymous):
sin34.5 = .566
sin115.7= .901
22/.566= 38.869
38.869 /.901= 43.14 <--- rounded wrong so alittle off
OpenStudy (anonymous):
i don't know..
OpenStudy (anonymous):
can you show me how you got 35?
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hartnn (hartnn):
its 35
i used my calculator also.
hartnn (hartnn):
sin 34.5 = 0.566
sin 115.7 = 0.9011
hartnn (hartnn):
22/ 0.566 * 0.9011 = 35