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.

- anonymous

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- anonymous

Do you know SOHCAHTOA?
Your sine, cosine, and tangent laws?

- anonymous

Yes

- anonymous

Okay, since you know all three side lengths, you can use any of the three functions to determine x.

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## More answers

- anonymous

For example, \(\sin x = \frac{\text{opp}}{\text{hyp}}\)

- anonymous

And that is it? Just use 17 over 15 ,divide and my answer would be 1.13?

- anonymous

It's not x = 1.13. It's sin x = 1.13.

- anonymous

Ah, sorry for not using correct mathematical vocabulary.

- anonymous

No, that's not my point. The point is, you need to solve for x. Right now, you only know sin x.

- anonymous

You need to get rid of the sin.

- anonymous

Oh? How is this done?

- anonymous

One thing first. It's not 17/15, it's 15/17.

- anonymous

Got it

- anonymous

So, \(\sin x = \frac{15}{17} = 0.882\)

- anonymous

To get rid of the sin, you calculate \(\sin^{-1}\). On your calculator, you should have a way to do this.

- anonymous

So, \(x = \sin^{-1} (\frac{15}{17})\)

- anonymous

I did not know there was such an option? Thank you.

- anonymous

You might need to hit something like 2nd function, or inverse, then hit sin.

- anonymous

You should end up with something around 60 degrees, if it's sine of 15/17.

- anonymous

This isn't my outcome, I get a decimal of 1.001

- anonymous

Okay, so you took your amount (0.882) and hit inverse sine (sin^-1) and got 1.001?

- anonymous

Oh but wait, that is sin(h), Sorry, personal mistake.

- anonymous

No worries.

- 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

Odd, I get the decimal of 0.795, how does this lead to 60 degrees?

- anonymous

What calculation gives you 0.795?

- 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

Where did you type that in?

- 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

http://www.wolframalpha.com/input/?i=sin%5E-1%280.882%29

- anonymous

Good stuff! You're very welcome. :)

- anonymous

I shall be on my way! Good day to you, and thank you for your time.

- anonymous

You too, David! Cheers!

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