Question

type the correct answer in the box.
what trigonometric expression can be used to find the value of x? replace a and b with the correct values.
12
\\( \frac { a } { \tan ( b ) } \\)

Explanation:

Step1: Recall the tangent function

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 25^{\circ}\), the opposite side is \(12\) and the adjacent side is \(x\). So, \(\tan(25^{\circ})=\frac{12}{x}\).

Step2: Solve for \(x\)

Cross - multiply the equation \(\tan(25^{\circ})=\frac{12}{x}\) to get \(x=\frac{12}{\tan(25^{\circ})}\).

Answer:

\(\frac{12}{\tan(25^{\circ})}\)