Question

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

Explanation:

Step1: Recall the tangent function

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For angle \(x\), the opposite side is \(HG = 99\) and the adjacent side is \(HI=80\). So, \(\tan x=\frac{99}{80}\).

Step2: Solve for \(x\)

Take the inverse tangent (arctan) of both sides. \(x = \arctan(\frac{99}{80})\). Using a calculator, \(\frac{99}{80}=1.2375\), and \(\arctan(1.2375)\approx51.0^{\circ}\).

Answer:

\(51.0\)