Question

Use a calculator to find the values of X. Round sides to the nearest 10th and angles to the nearest whole number. Use sin or COS as appropriate.

Answer 1

Given the information about the triangle, we can use the cosine function on angle x to get the following:

`\begin{gathered} \cos x=\frac{\text{adjacent side}}{hypotenuse}=(7)/(16) \\ \Rightarrow\cos x=(7)/(16) \end{gathered}`

solving for x, we get:

`\begin{gathered} \cos x=(7)/(16) \\ \Rightarrow x=\cos ^(-1)((7)/(16))=64.1 \\ x=61.1\degree \end{gathered}`

therefore, the value of x is 61.1