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$x =$ $square$ $\\degree$\nsubmit answer

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

Answer

Explanation:

Step1: Identify trigonometric ratio

We use cosine: $\cos(x) = \frac{\text{adjacent}}{\text{hypotenuse}}$

Step2: Substitute given values

$\cos(x) = \frac{34}{46}$

Step3: Simplify the fraction

$\cos(x) = \frac{17}{23} \approx 0.7391$

Step4: Solve for $x$ using arccosine

$x = \arccos\left(\frac{17}{23}\right)$

Step5: Calculate and round

$x \approx 42.3^\circ$

Answer:

$42.3$