solve for $x$. round to the nearest tenth of a degree, if necessary.
solve for $x$. round to the nearest tenth of a degree, if necessary.
Answer
Explanation:
Step1: Identify the trigonometric ratio
In right - triangle JIH, we know the adjacent side ($IJ = 54$) and the opposite side ($IH = 44$) with respect to angle $x$. We use the tangent function, $\tan(x)=\frac{\text{opposite}}{\text{adjacent}}$. So, $\tan(x)=\frac{44}{54}$.
Step2: Calculate the value of $x$
We have $\tan(x)=\frac{44}{54}\approx0.8148$. Then, $x = \arctan(0.8148)$. Using a calculator in degree mode, $x=\arctan(0.8148)\approx39.2^{\circ}$.
Answer:
$39.2^{\circ}$