Question

value: 3
find cos(a). reduce the ratio if necessary.
30
50
40
a. 3/4
b. 3/5
c. 5/4
d. 4/3

Explanation:

Step1: Recall cosine ratio formula

In a right - triangle, $\cos(A)=\frac{\text{adjacent}}{\text{hypotenuse}}$ for angle $A$.

Step2: Identify adjacent side and hypotenuse

For angle $A$, the adjacent side to angle $A$ is $AB = 30$ and the hypotenuse is $AC=50$.

Step3: Calculate cos(A)

$\cos(A)=\frac{30}{50}=\frac{3}{5}$

Answer:

B. 3/5