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. the triangle has a right angle, one side is 12, the angle is 25°, and x is another side. the expression to fill is \\(\frac{a}{\tan(b)}\\)

Explanation:

Step1: Identify trigonometric relation

In the right triangle, for the $25^\circ$ angle:
$\tan(25^\circ) = \frac{\text{opposite}}{\text{adjacent}} = \frac{12}{x}$

Step2: Rearrange to solve for $x$

Rearrange the tangent formula to isolate $x$:
$x = \frac{12}{\tan(25^\circ)}$

Answer:

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