solve for $x$. round to the nearest tenth of a degree, if necessary.\nanswer attempt 1 out of 2\n$x =$…

solve for $x$. round to the nearest tenth of a degree, if necessary.\nanswer attempt 1 out of 2\n$x =$ $square$ °

solve for $x$. round to the nearest tenth of a degree, if necessary.\nanswer attempt 1 out of 2\n$x =$ $square$ °

Answer

Explanation:

Step1: Identify adjacent, hypotenuse

For $\angle x$, adjacent side $=7.2$, hypotenuse $=12$.

Step2: Apply cosine definition

$\cos(x) = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{7.2}{12}$

Step3: Calculate inverse cosine

$x = \cos^{-1}\left(\frac{7.2}{12}\right)$

Step4: Compute and round value

$x = \cos^{-1}(0.6) \approx 53.1^\circ$

Answer:

$53.1$