Meehan98 one year ago I need help with Pre-Calculus, please!

1. Meehan98

Solve for the missing side or angle.|dw:1443406044841:dw|

2. anonymous

is it a right angled triangle?

3. 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.

4. Meehan98

Yes, it's a right triangle.

5. anonymous

SOHCAHTOA you have an opposite side to that angle and an adjacent one. The ratio you need to use is TOA = $$\tan(\theta) = \dfrac{17.5}{29.4}$$

6. anonymous

So naturally to find the missing angle we take the arctan function. $\theta = \tan^{-1}\left(\frac{17.5}{29.4}\right)$

7. anonymous

$\tan \theta=\frac{ 17.5 }{ 29.4 },\theta=\tan^{-1} \frac{ 17.5 }{ 29.4 }=30.76~ degree$

8. Meehan98

Oh! Thank you to both of you!!

9. anonymous

yw