Question

find the trig ratio. 29 20 21 θ sin(θ) = ? enter as a decimal. round to the nearest hundredth. remember: sohcahtoa

Explanation:

Step1: Recall the sine formula

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

Step2: Identify the opposite and hypotenuse

For angle \(\theta\), the side opposite to \(\theta\) is \(20\) and the hypotenuse is \(29\).
So, \(\sin(\theta)=\frac{20}{29}\).

Step3: Calculate the decimal value

\(\frac{20}{29}\approx0.69\) (rounded to the nearest hundredth).

Answer:

\(0.69\)