Question

Determine the measure of ∠Z.Question options:A) 13.29°B) 48.24°C) 41.76°D) 87.71°

Answer 1

The triangle given in the exercise is a Right Triangle because it has an angle that measures 90 degrees.

Then, you can use the following Inverse Trigonometric Function to find the measure of the angle Z:

$\beta=\tan ^{-1}(\frac{opposite}{adjacent})$

In this case, you can identify that:

$\begin{gathered} \beta=m\angle Z \\ opposite=25 \\ adjacent=28 \end{gathered}$

Therefore, substituting values and evaluating, you get:

$\begin{gathered} m\angle Z=\tan ^{-1}(\frac{25}{28}) \\ \\ m\angle Z\approx41.76\degree \end{gathered}$

Hence, the answer is: Option C.