Question

find the value of x. round your final answer to the nearest tenth. 20 40° x

Explanation:

Step1: Use trigonometric ratio

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 40^{\circ}\), the opposite side is \(20\), and the adjacent side is \(x\). So, \(\tan40^{\circ}=\frac{20}{x}\).

Step2: Solve for \(x\)

Rearrange the equation to get \(x=\frac{20}{\tan40^{\circ}}\).
We know that \(\tan40^{\circ}\approx0.8391\). Then \(x=\frac{20}{0.8391}\approx23.8\).

Answer:

\(23.8\)