Question

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

Explanation:

Step1: Use tangent function

In right - triangle JKI, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 42^{\circ}$, the opposite side to $\angle K$ is $JI = 4.6$, and the adjacent side is $x$. So, $\tan42^{\circ}=\frac{4.6}{x}$.

Step2: Solve for $x$

We know that $\tan42^{\circ}\approx0.9004$. Then, $0.9004=\frac{4.6}{x}$. Cross - multiply to get $0.9004x = 4.6$. Divide both sides by $0.9004$: $x=\frac{4.6}{0.9004}\approx5.1$.

Answer:

$5.1$