Question

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

Explanation:

Step1: Use the tangent function

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 56^{\circ}\), the opposite side is \(KJ = 21\), and the adjacent side is \(IJ=x\). So, \(\tan(56^{\circ})=\frac{21}{x}\).

Step2: Solve for \(x\)

We can rewrite the equation as \(x=\frac{21}{\tan(56^{\circ})}\). Since \(\tan(56^{\circ})\approx1.4826\), then \(x=\frac{21}{1.4826}\).

Step3: Calculate the value of \(x\)

\(x=\frac{21}{1.4826}\approx14.2\)

Answer:

\(14.2\)