Question

tan x
find tanx
40/24
24/32
32/24
32/40

Explanation:

Step1: Recall the tangent formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\) for an acute angle \(\theta\).
For angle \(X\), the side opposite to angle \(X\) is \(YZ = 32\), and the side adjacent to angle \(X\) is \(XY=24\).

Step2: Calculate \(\tan X\)

Using the formula \(\tan X=\frac{\text{opposite}}{\text{adjacent}}\), we substitute the values: \(\tan X=\frac{32}{24}\)

Answer:

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