Question

question 9 of 40 what is sin 16°? 74° 25 7 16° 90° 24 a. $\frac{7}{24}$ b. $\frac{24}{25}$ c. $\frac{24}{7}$ d. $\frac{7}{25}$

Explanation:

Step1: Recall sine - definition

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

Step2: Identify sides for 16° angle

For the 16° angle in the given right - triangle, the side opposite the 16° angle has length 7 and the hypotenuse has length 25.

Step3: Calculate sine value

So, $\sin16^{\circ}=\frac{7}{25}$.

Answer:

D. $\frac{7}{25}$