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
We use sine, as $\sin(x) = \frac{\text{opposite}}{\text{hypotenuse}}$. Here, opposite side to $x^\circ$ is $3.3$, hypotenuse is $6$. $\sin(x) = \frac{3.3}{6}$
Step2: Simplify the ratio
Calculate the value of the fraction. $\sin(x) = 0.55$
Step3: Solve for $x$
Use inverse sine function to find $x$. $x = \sin^{-1}(0.55)$
Step4: Calculate and round
Compute the inverse sine and round to nearest tenth. $x \approx 33.4$
Answer:
$33.4$