Question

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

Explanation:

Step1: Recall the tangent ratio formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For \(\angle L\), the side opposite to \(\angle L\) is \(KJ = 12\) and the side adjacent to \(\angle L\) is \(KL=5\).

Step2: Calculate \(\tan L\)

Using the formula \(\tan L=\frac{KJ}{KL}\), substitute \(KJ = 12\) and \(KL = 5\). So, \(\tan L=\frac{12}{5}=2.4\)

Answer:

\(2.4\)