Question

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

Answer 1

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