Geometry

Question Analysis

This question focuses on using the sine trigonometric function in a right - triangle context. The main task is to solve for the unknown side given the value of and the length of the opposite side.

Key Concept Explanation

In a right - triangle, the sine of an angle is defined as . Here, , the opposite side has a length of , and the hypotenuse is .

Step - by - Step Solution

1. Given the equation .

2. We can cross - multiply to solve for . Cross - multiplying gives us .

3. Then, to isolate , we divide both sides of the equation by