find m∠x. write your answer as an integer or as a decimal rounded to the nearest tenth. m∠x = °

Explanation:

Step1: Recall trigonometric ratio

In right - triangle $XYZ$ with right - angle at $Z$, $\sin X=\frac{YZ}{XY}$. Here, $YZ = 4$ and $XY = 9$.

Step2: Calculate sine of angle $X$

$\sin X=\frac{4}{9}\approx0.444$.

Step3: Find the measure of angle $X$

$X=\sin^{- 1}(0.444)$. Using a calculator, $X\approx26.4^{\circ}$.

Answer:

$26.4$