The simplified, rationalized form is tan I = √70/5
<h3>SOH CAH TOA identity</h3>
From the given diagram, we are given the following parameters
- Adjacent to m<I = IG
- Hypotenuse = √95
According to the SOH CAH TOA identity;
tan m<I = opp/adj
tanm<I = Determine the opposite side using the pythagoras theorem:
GH² = (√95)² - 5²
GH² = 95 - 25
GH² = 70
GH = √70
Determine the value of tanm<I
tan I = √70/5
Hence the simplified, rationalized form is tan I = √70/5
Learn more on SOH CAH TOA here: brainly.com/question/20734777