Question

find sin(c). round to the nearest hundredth if necessary.

Explanation:

Step1: Recall sine - ratio formula

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

Step2: Identify opposite and hypotenuse

For angle $C$, the opposite side is $AB = 5$ and the hypotenuse is $AC=13$.

Step3: Calculate $\sin(C)$

$\sin(C)=\frac{AB}{AC}=\frac{5}{13}\approx 0.38$.

Answer:

b. 0.38