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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
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Do you know SOHCAHTOA? Your sine, cosine, and tangent laws?
Yes
Okay, since you know all three side lengths, you can use any of the three functions to determine x.

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Other answers:

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

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