anonymous
  • anonymous
So, on my right triangle triangle I have here, they give all the sides and are asking for an angle The sides are Opp=15 Adj=8 Hyp=17 And we are looking for the x angle.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Do you know SOHCAHTOA? Your sine, cosine, and tangent laws?
anonymous
  • anonymous
Yes
anonymous
  • anonymous
Okay, since you know all three side lengths, you can use any of the three functions to determine x.

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anonymous
  • anonymous
For example, \(\sin x = \frac{\text{opp}}{\text{hyp}}\)
anonymous
  • anonymous
And that is it? Just use 17 over 15 ,divide and my answer would be 1.13?
anonymous
  • anonymous
It's not x = 1.13. It's sin x = 1.13.
anonymous
  • anonymous
Ah, sorry for not using correct mathematical vocabulary.
anonymous
  • anonymous
No, that's not my point. The point is, you need to solve for x. Right now, you only know sin x.
anonymous
  • anonymous
You need to get rid of the sin.
anonymous
  • anonymous
Oh? How is this done?
anonymous
  • anonymous
One thing first. It's not 17/15, it's 15/17.
anonymous
  • anonymous
Got it
anonymous
  • anonymous
So, \(\sin x = \frac{15}{17} = 0.882\)
anonymous
  • anonymous
To get rid of the sin, you calculate \(\sin^{-1}\). On your calculator, you should have a way to do this.
anonymous
  • anonymous
So, \(x = \sin^{-1} (\frac{15}{17})\)
anonymous
  • anonymous
I did not know there was such an option? Thank you.
anonymous
  • anonymous
You might need to hit something like 2nd function, or inverse, then hit sin.
anonymous
  • anonymous
You should end up with something around 60 degrees, if it's sine of 15/17.
anonymous
  • anonymous
This isn't my outcome, I get a decimal of 1.001
anonymous
  • anonymous
Okay, so you took your amount (0.882) and hit inverse sine (sin^-1) and got 1.001?
anonymous
  • anonymous
Oh but wait, that is sin(h), Sorry, personal mistake.
anonymous
  • anonymous
No worries.
anonymous
  • anonymous
Since you knew all the sides, you could have also done \(x = \cos^{-1} (\frac{8}{17})\) or \(x = \tan^{-1} (\frac{15}{8})\), and gotten identical answers.
anonymous
  • anonymous
Odd, I get the decimal of 0.795, how does this lead to 60 degrees?
anonymous
  • anonymous
What calculation gives you 0.795?
anonymous
  • anonymous
Well, seeing as I'm using the computer based calculator, this may have swayed my calculation. When typed in, it shows up as *asinh(15 /17)*
anonymous
  • anonymous
Where did you type that in?
anonymous
  • anonymous
But lo, I have found my answer as you have predicted, thank you so much kind sir, It was simply a typing error.
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=sin%5E-1%280.882%29
anonymous
  • anonymous
Good stuff! You're very welcome. :)
anonymous
  • anonymous
I shall be on my way! Good day to you, and thank you for your time.
anonymous
  • anonymous
You too, David! Cheers!

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