Question

identifying trig ratios (diagram), level 2
question
find the value of tan i rounded to the nearest hundredth, if necessary.
answer
attempt 1 out of 3
tan i =

Explanation:

Step1: Recall the tangent ratio formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For \(\angle I\), the side opposite to \(\angle I\) is \(JK = \sqrt{67}\), and the side adjacent to \(\angle I\) is \(IJ=29\).

Step2: Calculate \(\tan I\)

\(\tan I=\frac{JK}{IJ}=\frac{\sqrt{67}}{29}\). Since \(\sqrt{67}\approx8.19\), then \(\tan I=\frac{8.19}{29}\approx0.28\).

Answer:

\(0.28\)