Question

find the value of x. round your answer to two decimal places. 32° x 14

Explanation:

Step1: Identify trigonometric ratio

In a right triangle, \(\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 32^\circ\), opposite side is \(14\), adjacent side is \(x\). So \(\tan(32^\circ)=\frac{14}{x}\).

Step2: Solve for \(x\)

Rearrange the formula: \(x=\frac{14}{\tan(32^\circ)}\). Calculate \(\tan(32^\circ)\approx0.6249\). Then \(x = \frac{14}{0.6249}\approx22.40\).

Answer:

\(22.40\)