Question

express tan b as a fraction in simplest terms.
answer attempt 1 out of 2
tan b =

Explanation:

Step1: Recall the tangent ratio formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For \(\angle B\), the side opposite to \(\angle B\) is \(CD = \sqrt{31}\) and the side adjacent to \(\angle B\) is \(BC=12\).

Step2: Apply the formula

\(\tan B=\frac{CD}{BC}\)

Answer:

\(\frac{\sqrt{31}}{12}\)