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:

$\cos\theta=\frac{adj}{hyp}$

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:

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

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