Question

find x. round your answer to the nearest tenth of a degree.

Explanation:

Step1: Identify trigonometric ratio

We know that $\sin x=\frac{\text{opposite}}{\text{hypotenuse}}$. In the right - triangle, the opposite side to angle $x$ is $19$ and the hypotenuse is $25$. So, $\sin x=\frac{19}{25}$.

Step2: Solve for $x$

To find $x$, we use the inverse - sine function. So, $x = \sin^{-1}(\frac{19}{25})$.

Step3: Calculate the value

$x=\sin^{-1}(0.76)\approx49.5^{\circ}$ (rounded to the nearest tenth of a degree).

Answer:

$49.5$