Question

question
find the exact value of tan k in simplest radical form.
answer
attempt 1 out of 2
tan k =

Explanation:

Step1: Recall the tangent ratio formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For angle \(K\), the side opposite to angle \(K\) is \(ML = 6\) and the side adjacent to angle \(K\) is \(LK=8\).

Step2: Calculate \(\tan K\)

Using the formula \(\tan K=\frac{ML}{LK}\), substitute \(ML = 6\) and \(LK = 8\). So, \(\tan K=\frac{6}{8}=\frac{3}{4}\).

Answer:

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