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 :

The side opposite to  is .

The hypotenuse of the right - triangle  (since ) is .

2. Calculate :

Using the formula , substituting , opposite side , and hypotenuse , we get

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