Question

question 6 (5 points)
listen
which of the following is a correct sine ratio for the figure?
a) c = 5/13
b) c = 13/12
c) c = 12/13
d) c = 5/12

Explanation:

Step1: Recall sine - ratio formula

The sine of an angle in a right - triangle is defined as $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify opposite and hypotenuse for angle C

For angle C in right - triangle ABC, the side opposite to angle C is AB = 5 and the hypotenuse is BC = 13.

Step3: Calculate sine of angle C

So, $\sin C=\frac{AB}{BC}=\frac{5}{13}$.

Answer:

A. C = 5/13