Question

question 6 of 10 according to this diagram, what is cos 16°? a. $\frac{25}{24}$ b. $\frac{25}{7}$ c. $\frac{7}{24}$ d. $\frac{24}{25}$ e. $\frac{7}{25}$

Explanation:

Step1: Recall cosine formula

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

Step2: Identify sides for 16 - degree angle

For the $16^{\circ}$ angle in the given right - triangle, the adjacent side to the $16^{\circ}$ angle is 24 and the hypotenuse is 25.

Step3: Calculate cosine value

$\cos16^{\circ}=\frac{24}{25}$

Answer:

D. $\frac{24}{25}$