solve for $x$. round to the nearest tenth of a degree, if necessary.\nanswer attempt 2 out of 2\n$x =$
solve for $x$. round to the nearest tenth of a degree, if necessary.\nanswer attempt 2 out of 2\n$x =$
Answer
Explanation:
Step1: Identify trigonometric ratio
We have a right triangle at F. For angle $x$ at E: adjacent side = 34, hypotenuse = 46. Use cosine: $\cos(x) = \frac{\text{adjacent}}{\text{hypotenuse}}$ $\cos(x) = \frac{34}{46}$
Step2: Simplify the ratio
$\cos(x) = \frac{17}{23} \approx 0.7391$
Step3: Solve for x using arccosine
$x = \arccos\left(\frac{17}{23}\right)$ Calculate using a calculator in degree mode: $x \approx 42.3^\circ$
Answer:
$42.3$