Question

question
find the value of cos i rounded to the nearest hundredth, if necessary.

Explanation:

Step1: Find the length of the hypotenuse \(GI\)

Use the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\) (where \(a = 21\), \(b = 28\), and \(c=GI\)).

$$
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Step2: Calculate \(\cos I\)

By the definition of cosine in a right - triangle \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). For \(\angle I\), the adjacent side to \(\angle I\) is \(HI = 21\) and the hypotenuse \(GI = 35\).

$$ \cos I=\frac{HI}{GI}=\frac{21}{35}=0.6 $$

Answer:

$0.6$