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use soh - cah - toa to find tan(x)

Question

use soh - cah - toa to find tan(x)

Explanation:

Step1: Recall the formula for tangent

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

Step2: Identify the opposite and adjacent sides for angle \(X\)

From the right - triangle, the side opposite to angle \(X\) is \(16\), and the side adjacent to angle \(X\) is \(12\)

Step3: Calculate \(\tan(X)\)

\(\tan(X)=\frac{16}{12}=\frac{4}{3}\approx1.33\)

Answer:

\(1.33\)