Question

question
solve for ( x ). round to the nearest tenth, if
necessary.
answer
attempt 1 out of 3
( x = )

Explanation:

Step1: Use the tangent function

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 62^{\circ}\), the opposite side to \(\angle E\) is \(CD = 15\), and the adjacent side is \(DE=x\). So, \(\tan62^{\circ}=\frac{15}{x}\).

Step2: Solve for \(x\)

We can rewrite the equation as \(x=\frac{15}{\tan62^{\circ}}\). Since \(\tan62^{\circ}\approx1.8807\), then \(x=\frac{15}{1.8807}\approx8.0\).

Answer:

\(x = 8.0\)