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Mathematics 16 Online
OpenStudy (anonymous):

Trigonometry Question!!

OpenStudy (anonymous):

Calculate the side lengths a and b to two decimal places. a = 6.23 and b = 4.45 a = 14.71 and b = 17.56 a = 16 and b = 17 a = 15.68 and b = 19.58

hero (hero):

Use law of sines \[\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}\]

OpenStudy (anonymous):

Could you show me how to do that? These confuse me.

hero (hero):

First find \(\angle C\)

hero (hero):

\(m\angle A + m\angle B + m\angle C = 180^{\circ}\)

OpenStudy (anonymous):

23 degrees?

hero (hero):

Okay, now set up proportions like this: \[\frac{\sin(50)}{a} = \frac{\sin(23)}{8}\] \[\frac{\sin(107)}{b} = \frac{\sin(23)}{8}\]

hero (hero):

Isolate \(a\) and \(b\). Make sure your calc is in degree mode.

OpenStudy (anonymous):

\[a=\frac{ 0.39 }{ 8 }*0.77\] \[b=\frac{ 0.39 }{ 8 }*0.9\]

OpenStudy (anonymous):

Thats suppose to be 0.96

OpenStudy (anonymous):

@Hero is this right?

OpenStudy (anonymous):

That is not right could you tell me where I messed up?

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