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The equation cos super negative 1 (StartFraction 3.4 Over 10 EndFraction)equals x can be used to determine the measure of angle BAC.


Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 10 centimeters and the length of A C is 3.4 centimeters. Angle C A B is x.




What is the degree measure of angle BAC? Round to the nearest whole degree.


19°

20°

70°

71°

Respuesta :

Answer:

70 degrees

Step-by-step explanation:

[tex]cos^{-1} \frac{3.4}{10}=x[/tex]

This implies that:  [tex]cos x= \frac{3.4}{10}[/tex]Recall: [tex]cos x=\frac{adjacent}{hypotenuse}[/tex]

From the diagram

Angle CAB,  [tex]x=cos^{-1} \frac{3.4}{10}=70.1 degrees[/tex]=70 (to the nearest degree)

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akposevictor

Using the cosine ratio, cos ∅ = adjacent/hypotenuse, the degree measure of angle BAC is: C. 70°

What is the Cosine Ratio?

For any given reference angle (∅) in a right triangle, the cosine ratio is given as:

cos ∅ = adjacent/hypotenuse

Given the following:

  • ∅ = x (angle BAC)
  • Adjacent length = 3.4 cm
  • Hypotenuse length = 10 cm

Apply the cosine ratio:

cos x = 3.4/10

x = cos^(-1)(3.4/10)

x ≈ 70°

Measure of angle BAC is: C. 70°

Learn more about the cosine ratio on:

https://brainly.com/question/15793827

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