Use the sine ratio to find the missing side of the right triangle below. Estimate your answer to two decimal places.

1. Break Down the Problem

To find the missing side of a right triangle using the sine ratio, we need to identify:

• The angle given (let's denote it as $\theta$).
• The side opposite to this angle (which is the missing side we want to find).
• The length of the hypotenuse.

2. Relevant Concepts

The sine ratio is defined as: $\sin(\theta) = \frac{\text{Opposite}}{\text{Hypotenuse}}$ Where:

• Opposite: the side opposite to angle $\theta$.
• Hypotenuse: the longest side of the triangle.

Rearranging the formula to find the opposite side: $\text{Opposite} = \sin(\theta) \times \text{Hypotenuse}$

3. Analysis and Detail

Assuming:

• $\theta$ is known.
• The length of the hypotenuse is given (let's denote it as $H$).

Insert the known values into the equation: $\text{Opposite} = \sin(\theta) \cdot H$

1. Calculate $\sin(\theta)$.
2. Multiply by the hypotenuse $H$ to find the length of the opposite side.

4. Verify and Summarize

After performing the calculation, ensure that the answer for the opposite side is rounded to two decimal places.

Final Answer

The final result will be the calculated length of the opposite side rounded to two decimal places. Please provide the values for $\theta$ and $H$ to perform the specific calculation.