Question

solve for $x$. round to the nearest tenth, if necessary.
answer
$x=$

Explanation:

Step1: Use cosine function

In right - triangle \( \triangle JIH\), \(\cos H=\frac{IH}{JH}\). Given \( \angle H = 49^{\circ}\), \(IH = 20\), and \(JH=x\). So, \(\cos49^{\circ}=\frac{20}{x}\).

Step2: Solve for \(x\)

Rearrange the formula to \(x=\frac{20}{\cos49^{\circ}}\). Since \(\cos49^{\circ}\approx0.6561\), then \(x=\frac{20}{0.6561}\approx30.5\).

Answer:

\(30.5\)