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 = $
Answer
Explanation:
Step1: Identify the trigonometric ratio
In a right - triangle, we use the tangent function. $\tan(x)=\frac{\text{opposite}}{\text{adjacent}}$. Here, the opposite side to angle $x$ is $8.1$ and the adjacent side is $4.4$. So, $\tan(x)=\frac{8.1}{4.4}$.
Step2: Solve for $x$
We know that if $\tan(x)=a$, then $x = \arctan(a)$. So, $x=\arctan\left(\frac{8.1}{4.4}\right)$. Using a calculator, $x=\arctan(1.840909)\approx61.5^{\circ}$.
Answer:
$61.5$