highschoolmom2010
Find the values of w and then x. Round lengths to the nearest tenth and angle measures to the nearest degree.



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katherine.ok
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Lol. you are still doing your math homework i see! Do you remember me?

highschoolmom2010
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i had to take a break my brain was smoking

katherine.ok
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sin30= w/6. get w.

highschoolmom2010
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lol hi @nincompoop and @katherine.ok yes i remember

katherine.ok
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Knowing w now, you now know that cos x=4/w. you know w, get x.

katherine.ok
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cosx=w/4**

highschoolmom2010
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ok \[\sin (30)=\frac{ w }{ 6 }\]
\[(6)*\sin 30=\frac{ w }{ 6 }*6\]
\[6\sin 30=w \]
w=3

Jhannybean
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Good job.

highschoolmom2010
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@nincompoop i am using SOH CAH TOA :D

Jhannybean
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Now that you found w, use \(\large \cos(\theta) = \frac{w}{4}\)

highschoolmom2010
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what is that symbol ^^

Jhannybean
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sorry, \(\large \theta = x\).
So \[\large \cos(x) = \frac{3}{4}\]\[\large x = \cos^{1} \left(\frac{3}{4}\right)\]

highschoolmom2010
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\[\cos (x)=\frac{ 3 }{ 4 }\]

Jhannybean
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\(\large \theta\) = theta, it signifies an angle measurement.

katherine.ok
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if cos x= 3/4 , punch in your calculator arccos(3/4) or equivalently, cos^1(3/4)


katherine.ok
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arccos or cos^1 is a function which returns degree or radians to fulfill the cos ratio. good job.

highschoolmom2010
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ty :DD ima fast learner

highschoolmom2010
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@katherine.ok @nincompoop @Jhannybean thanks for the help

Jhannybean
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No problem.