How to I Find Angle (and Vice Versa)

**masoug** · November 9th 2010, 02:19 PM

Hi, I have a question, according to the diagram shown below,

what is $x$ if the slope is known, (such as $\frac{5}{9}$ ). How do we find slope if we know $x$ ?
Note: Figure is not drawn to scale.

Thanks!

-Masoug

**Prove It** · November 9th 2010, 04:46 PM

I don't understand your question - are you using $\displaystyle x$ to denote the angle made with the $\displaystyle x$ axis? Or are you using it to denote an $\displaystyle x$ coordinate?

If you are referring to an angle, you should use $\displaystyle \theta$ .

**HallsofIvy** · November 10th 2010, 03:35 AM

The "slope" of a line is the tangent of the angle, $\frac{y}{x}= tan(\theta)$ , so the angle is the inverse tangent:
$\theta= tan^{-1}(\theta)= arctan(\theta)$ .

I don't understand the "vice-versa" part of your question. Your original question was "how do I find the angle" so "vice-versa" would be "how does the angle find me"!

**masoug** · November 11th 2010, 11:30 AM

Thanks for the quick replies. Sorry for the failed picture too...

What I meant by "vice versa" is if I know the angle, can I find the slope?

-Masoug

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