Question

find the tangent of x.
16
20
12
x°
tan(x°) = ?

Explanation:

Step1: Recall Tangent Definition

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

Step2: Identify Sides for \(x^\circ\)

For angle \(x^\circ\), opposite side is \(16\), adjacent side is \(12\).

Step3: Calculate \(\tan(x^\circ)\)

\(\tan(x^\circ)=\frac{16}{12}=\frac{4}{3}\) (simplify by dividing numerator and denominator by 4).

Answer:

\(\frac{4}{3}\)