Question

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

Explanation:

Step1: Use trigonometric function

In right - triangle \(CDE\), \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 73^{\circ}\), the opposite side is \(CD = 6.6\), and the adjacent side is \(DE=x\).
We know that \(\tan73^{\circ}=\frac{CD}{DE}\).
Since \(\tan73^{\circ}\approx3.2709\), the equation becomes \(3.2709=\frac{6.6}{x}\).

Step2: Solve for \(x\)

Cross - multiply: \(3.2709x = 6.6\).
Then \(x=\frac{6.6}{3.2709}\).
Calculate \(x\approx2.0\).

Answer:

\(2.0\)