Question

question 27 of 40 what is sin 23°? a. $\frac{5}{13}$ b. $\frac{12}{5}$ c. $\frac{5}{12}$ d. $\frac{12}{13}$

Explanation:

Step1: Recall sine - definition

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

Step2: Identify sides for 23 - degree angle

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

Step3: Calculate sine value

So, $\sin23^{\circ}=\frac{5}{13}$.

Answer:

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