Question

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

Explanation:

Step1: Recall the cosine formula

In a right - triangle, $\cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}$. For $\angle S$, the adjacent side to $\angle S$ is $ST = 16$, and the hypotenuse is $RS=34$.

Step2: Calculate the cosine value

$\cos(S)=\frac{ST}{RS}=\frac{16}{34}$. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor. The GCD of 16 and 34 is 2. So, $\frac{16\div2}{34\div2}=\frac{8}{17}$.

Answer:

$\frac{8}{17}$