Question

question 9 of 10
according to this diagram, what is sin 23°?
13
67°
5
23°
90°
12
a. $\frac{5}{12}$
b. $\frac{13}{12}$
c. $\frac{12}{5}$
d. $\frac{13}{5}$
e. $\frac{12}{13}$
f. $\frac{5}{13}$

Explanation:

Step1: Identify hypotenuse

Hypotenuse = 13 (opposite right angle)

Step2: Find opposite side to 23°

Opposite side = 5 (shorter non-hypotenuse side)

Step3: Calculate sin 23°

$\sin 23^\circ = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{5}{13}$

Answer:

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