Question

find tanx; 40/24; 24/32; 32/24; 32/40

Explanation:

Step1: Recall the tangent function definition

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\).

Step2: Identify the sides relative to angle \(X\)

For angle \(X\), the opposite side is \(YZ = 32\) and the adjacent side is \(XY=24\).

Step3: Calculate \(\tan X\)

Using the formula \(\tan X=\frac{YZ}{XY}\), substituting \(YZ = 32\) and \(XY = 24\), we get \(\tan X=\frac{32}{24}\).

Answer:

\(\frac{32}{24}\)