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

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

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

Answer

Explanation:

Step1: Identify trigonometric ratio

For angle $x^\circ$, the side opposite is $GH = 3$, and the hypotenuse is $FH = 4.2$. Use sine: $\sin(x) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{3}{4.2}$

Step2: Simplify the ratio

$\sin(x) = \frac{3}{4.2} \approx 0.7143$

Step3: Calculate inverse sine

$x = \sin^{-1}(0.7143)$

Step4: Round to nearest tenth

$x \approx 45.6$

Answer:

$45.6$