Question

question 5 of 10 according to this diagram, what is sin 23°? a. $\frac{12}{13}$ b. $\frac{5}{13}$ c. $\frac{13}{12}$ d. $\frac{12}{5}$ e. $\frac{13}{5}$

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 $\theta = 23^{\circ}$

For the $23^{\circ}$ angle in the given right - triangle, the side opposite to the $23^{\circ}$ angle has length 5 and the hypotenuse has length 13.

Step3: Calculate $\sin23^{\circ}$

$\sin23^{\circ}=\frac{5}{13}$

Answer:

B. $\frac{5}{13}$