Question

find the cosine of ∠a. simplify your answer and write it as a proper fraction, improper fraction, or whole number. cos (a) =

Explanation:

Step1: Recall cosine definition

For an acute angle in a right triangle, $\cos(\theta) = \frac{\text{adjacent side}}{\text{hypotenuse}}$

Step2: Identify sides for $\angle A$

Adjacent to $\angle A$ is $AB = 12$, hypotenuse $AC = 20$.

Step3: Substitute and simplify fraction

$\cos(A) = \frac{12}{20} = \frac{3}{5}$

Answer:

$\frac{3}{5}$