Question

according to this diagram, what is sin 16°? a. $\frac{24}{7}$ b. $\frac{25}{7}$ c. $\frac{25}{24}$ d. $\frac{24}{25}$ e. $\frac{7}{25}$ f. $\frac{7}{24}$

Explanation:

Step1: Recall sine - function definition

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$, where $\theta$ is an acute angle.

Step2: Identify opposite and hypotenuse for 16°

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

Step3: Calculate $\sin16^{\circ}$

$\sin16^{\circ}=\frac{7}{25}$

Answer:

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