Question

Find the tangent of ∠I.

Answer 1

The simplified, rationalized form is tan I = √70/5

SOH CAH TOA identity

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