The triangle ABC is a right triangle
The length of AC is 12.00 cm
How to determine the length of AC
From the figure, we have the following parameters:
Length AB = 13 cm
Angle A = 22.6 degrees
Represent the length AC with b.
So, we have the following cosine ratio
[tex]\cos(A) = \frac{b}{AB}[/tex]
Substitute known values
[tex]\cos(22.6) = \frac{b}{13}[/tex]
Make b the subject
[tex]b = 13 * \cos(22.6)[/tex]
Evaluate the product
[tex]b = 12.00[/tex]
Hence, the length of AC is 12.00 cm
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