Respuesta :

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle

hypotenuse = x and adjacent = 79

cos38° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{79}{x}[/tex]

Multiply both sides by x

x × cos38° = 79 ( divide both sides by cos38° )

x = [tex]\frac{79}{cos38}[/tex] ≈ 100.25 → A

The value of x to the nearest hundredth is 100.25 given that one angle is 38° and adjacent side is 79. This can be obtained by using trigonometric ratio of cosine.

What is the trigonometric ratio of cosine?

In a right triangle,

cos x =[tex]\frac{adjacent side}{hypotenuse}[/tex]  , where x is the angle

Calculate the value of x:

Given that angle is 38° and adjacent side is 79.

Cosine ratio is, cos 38° =[tex]\frac{adjacent side}{hypotenuse}[/tex] = 79/x

0.788 = 79/x

x = 79/0.788 ⇒ x = 100.25

Hence the value of x to the nearest hundredth is 100.25 given that one angle is 38° and adjacent side is 79.

Learn more about trigonometric ratios here:  

brainly.com/question/1013629

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