Question

cos c
what is the correct ratio?
9/40
9/41
40/9
40/41

Explanation:

Step1: Recall the cosine formula

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$.

Step2: Identify the sides relative to angle \(C\)

For angle \(C\), the adjacent side is \(BC = 40\) and the hypotenuse is \(AC=41\).

Step3: Calculate \(\cos C\)

Using the formula \(\cos C=\frac{BC}{AC}\), we substitute \(BC = 40\) and \(AC = 41\), so \(\cos C=\frac{40}{41}\).

Answer:

\(\frac{40}{41}\)