Question

Find the value of x. Round to the nearest degree.1914Not drawn to scaleX=

Answer 1

The value of x can be calculated using the Cosine Trigonometric Ratio given to be:

`\cos\theta=(adj)/(hyp)`

From the question, we have the following parameters:

`\begin{gathered} \theta=x \\ adj=14 \\ hyp=19 \end{gathered}`

Therefore, the measure of x is gotten to be:

`\begin{gathered} \cos x=(14)/(19) \\ x=\arccos((14)/(19)) \\ x=42.54\degree \end{gathered}`

To the nearest degree, the measure of x is 43 derees.