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Mathematics 11 Online
OpenStudy (anonymous):

In the triangle, b = _____. If necessary, round your answer to two decimal places.

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

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 ?

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.

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.

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.

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?

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

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