Respuesta :

themathexpertise

Answer:

x is approximately 48.2.

Step-by-step explanation:

Use the trig function of cosine, or adjacent over hypotenuse.

cos theta = adjacent / hypotenuse

Substitute variables.

cos x = 10 / 15

Apply inverse cosine to both sides.

x = cos^-1(10/15)

Evaluate.

x ≈ 48.2

Answer:

x ≈ 48.2°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{10}{15}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{10}{15}[/tex] ) ≈ 48.2° ( to the nearest tenth )

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