Question

Using a trigonometric ratio to find an angle measure in a right

Answer 1

ANSWER :

x = 33.6 degrees

EXPLANATION :

Recall that the cosine function is :

$\cos\theta=\frac{\text{ adjacent}}{\text{ hypotenuse}}$

From the problem, the adjacent to the angle x is 15 and the hypotenuse is 18.

Using the formula above :

$\begin{gathered} \cos x=\frac{15}{18} \\ \\ \text{ take the arccos :} \\ x=\arccos(\frac{15}{18}) \\ \\ x=33.56\sim33.6 \end{gathered}$