Meehan98
  • Meehan98
I need help with Pre-Calculus, please!
Mathematics
chestercat
  • chestercat
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Meehan98
  • Meehan98
Solve for the missing side or angle.|dw:1443406044841:dw|
anonymous
  • anonymous
is it a right angled triangle?
Meehan98
  • Meehan98
I apologize for the poor drawing. I know that I use tangent so it would be: tan(theta)=.5952 but I don't know how to get degrees after that.

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Meehan98
  • Meehan98
Yes, it's a right triangle.
Jhannybean
  • Jhannybean
SOHCAHTOA you have an opposite side to that angle and an adjacent one. The ratio you need to use is `TOA` = \(\tan(\theta) = \dfrac{17.5}{29.4}\)
Jhannybean
  • Jhannybean
So naturally to find the missing angle we take the arctan function. \[\theta = \tan^{-1}\left(\frac{17.5}{29.4}\right)\]
anonymous
  • anonymous
\[\tan \theta=\frac{ 17.5 }{ 29.4 },\theta=\tan^{-1} \frac{ 17.5 }{ 29.4 }=30.76~ degree\]
Meehan98
  • Meehan98
Oh! Thank you to both of you!!
anonymous
  • anonymous
yw

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