Respuesta :

cosine is defined as adjacent over hypotenuse. in this case, the angle is theta, so we look at 24 over 26.
cos θ = 24/26 = 12/13 = .923.
we take the inverse cosine in order to find the angle measurement.
it should look like [tex]cos^{-1} [/tex].
set that up as [tex]cos^{-1} [/tex] (24/26) = θ
here you would get the answer 22.6°

Answer:

[tex]\cos\theta=\frac{12}{13}[/tex]

Step-by-step explanation:

Remember the defintion of [tex]\cos \theta[/tex] as a ratio between the adjacent side and the hypotenusa of the right triangle, That is

[tex]\cos\theta=\frac{\mbox{adjacent side}}{\mbox{hypotenusa}}[/tex]

Replacing we have

[tex]\cos\theta=\frac{24}{26}=\frac{12}{13}[/tex]

where we have simplified the fraction.

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