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. right triangle with right angle, one leg 12, angle 25° adjacent to x, and the expression (\frac{a}{\tan(b)}) or similar with a keyboard interface for input

Explanation:

Step1: Recall the tangent function formula

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

Answer:

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