Geometry

Question Analysis

The main focus of this question is to find the sine of  in a right - triangle. It requires understanding the definition of sine and correctly identifying the opposite side and the hypotenuse relative to .

 

Key Concept Explanation

In a right - triangle, the sine of an acute angle  is defined as . The opposite side is the side directly opposite the angle , and the hypotenuse is the longest side of the right - triangle.

 

Step - by - Step Solution

1. Identify the sides relative to :

First, find the length of  using the Pythagorean theorem. Given  and  (hypotenuse), let . Then .

The side opposite to  is , and the hypotenuse is