Question

Find the lengths of AC. Round your answer to the nearest whole number. C a 22.69 B 13 cm A​

Answer 1

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

$\cos(A) = \frac{b}{AB}$

Substitute known values

$\cos(22.6) = \frac{b}{13}$

Make b the subject

$b = 13 * \cos(22.6)$

Evaluate the product

$b = 12.00$

Hence, the length of AC is 12.00 cm

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