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2 years ago

Find the tangent of ∠I.

Mathematics

1 answer:

snow_tiger [21]2 years ago

8 0

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

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3 years ago

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<><><><><>

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<><><><><>

Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Switch Sides

$\bold{-2\left(m+4\right)+m=58}$

[ Step Two ] Expand $\bold{-2\left(m+4\right)+m}$

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[ Step Three ] Rewrite Equation

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[ Step Four ] Add 8 To Both Sides

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[ Step Five ] Simplify

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