Question

find the value of tan b rounded to the nearest hundredth, if necessary.
answer attempt 1 out of 2
tan b =

Explanation:

Step1: Recall the tangent formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For \(\angle B\), the opposite side to \(\angle B\) is \(CD = 15\) and the adjacent side to \(\angle B\) is \(BC=36\).

Step2: Calculate \(\tan B\)

Using the formula \(\tan B=\frac{CD}{BC}\), substitute \(CD = 15\) and \(BC = 36\). So, \(\tan B=\frac{15}{36}\). Simplify the fraction: \(\frac{15\div3}{36\div3}=\frac{5}{12}\approx0.42\)

Answer:

\(0.42\)