144k views
3 votes
I have to use trig ratios to find the unknown angle measurement or side length.

I have to use trig ratios to find the unknown angle measurement or side length.-example-1

1 Answer

3 votes

In order to find x, we apply the trigonometric ratio

Given:


\begin{gathered} \text{angle, }\theta=57^0 \\ \text{adjacent = x} \\ \text{hypotenuse}=10 \end{gathered}

Hence,


\begin{gathered} \cos 57^0=\frac{\text{ adjacent}}{\text{ hypotenuse}}=(x)/(10) \\ \cos 57^0=(x)/(10) \\ x=10*\cos 57^0 \\ x=10*0.5446 \\ x=5.446 \end{gathered}

Therefore, the value of x, the adjacent side is 5.45 units to the nearest hundredth

User Lucky Yang
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.