Question

identifying trig ratios (diagram), level 1
score: 2/3 penalty: none
question
find the value of sin o rounded to the nearest hundredth, if necessary.
answer attempt 1 out of 2
sin o =

Explanation:

Step1: Recall the sine formula

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. For angle $O$, the side opposite to angle $O$ is $PQ = 12$, and the hypotenuse is $OQ=27$.

Step2: Calculate $\sin O$

$\sin O=\frac{PQ}{OQ}=\frac{12}{27}=\frac{4}{9}\approx0.44$

Answer:

$0.44$